You should obtain a value of 41. For example, 42 degrees 21 minutes 30 seconds converts to 42 + 21/60 +30/3600 degrees = 42. The sine is a. Use I2C on the Quark D2000 development board to interface a color sensor and get acquainted with using asynchronous mode. The x coordinate at 60 degrees is 1/2. There are 2? radians and 360 degrees in a circle. 67=196 degrees 40 minutes (to the nearest minute). 1 (iPad)-- A Students Circle Calculator. This is the same format as an Excel time value. you’ll ever need to know in Calculus Objectives: This is your review of trigonometry: angles, six trig. Calculate sin(x) with this trigonometry calculator. com explains, degrees “express directionality and angle size” while radians serve as the numerical expressions of degrees (e. Paid ad-free version also available. using scientific calculator you'll come up with a number (including decimal points) then you may determine the angle into degree, minutes and seconds There are several ways to measure the size of an angle. Press command2 on the Mac’s keyboard, to show the Scientific Calculator. Includes all the functions and options you might need. Improve your math knowledge with free questions in "Convert between radians and degrees" and thousands of other math skills. Line segments become great circle arcs. 1) 325° 2) 60° 3) -240° 4) 345° 5) 570° 6) ° Convert each decimal degree measure into degrees-minutes-seconds and each degrees-minutes-seconds into decimal degrees. CONVERT DEGREES MINUTES SECONDS VALUES TO DECIMAL DEGREE VALUES IN ARCMAP 28/01/2013 12:46:06 PM Page 1 These instructions describe how to use the Field Calculator in ArcMap to do the conversion from DMS to DD: If you have geographic coordinates in degrees, minutes and seconds (DMS) and want to add. You are probably used to expressing angles in degrees, but it is also possible to express angles in radians. Radian to Degree Definition. (They are called "Cartesian Co-ordinates", if anybody cares) First off, Right Ascension is given in terms of Hours, Minutes, and Seconds. Trigonometry Table Radian Degree Sine Cosine Tangent Radian Degree Sine Cosine Tangent 0. Note the use of the DEGREES( ) and RADIANS( ) function in the above example. Frequency period formula angular frequency cycle per second hertz Hz amplitude equation formulary acoustic time wavelength Hz to millisecond ms cycle duration time period relationship cycle duration periodic time frequency t=1/f calculator calcation worksheet - Eberhard Sengpiel sengpielaudio. 62° c) sin 46. For more examples of how to solve trigonometric word problems, sign up for the Trigonometry: The Unit Circle course. To set your graph to radians or degrees, click the Graph Settings wrench and click the appropriate button at the bottom of the drop down. In addition to these trigonometric functions, Excel also provides functions for converting angles between radians and degrees. Here, apparently, all how to calculate a sine and косинус 11 degrees and 32,7 minutes. This next section is done on a TI 84 calculator. The student should begin by knowing these. The minute is expressed as a decimal instead. In fact, we make it even nicer by simplifying and using the conversion: 180 degrees = pi radians!. If your calculator doesn't have a [INV] key, it probably has a [2 nd F] key and the inverse sine can be found using it. Free math lessons and math homework help from basic math to algebra, geometry and beyond. (They are called "Cartesian Co-ordinates", if anybody cares) First off, Right Ascension is given in terms of Hours, Minutes, and Seconds. Just divide both sides by 9 and we get 20 degrees = pi/9. ASA - known length of one side and two angles. The angle value ranges from 0-360 degrees. Combination of SohCahToa questions. That is the speed in feet per hour. Cofunction Identities. Move the mouse around to see how different angles (in radians or degrees) affect sine, cosine and tangent. The behavior of the minute hand The minute hand rotates at a constant rate and it completes one full circle or 360° in 60 minutes. So, continuing, x = 5× tan32. com and save. In astronomy, we often use angular measurements to describe the apparent size of an object in space and the apparent distances between objects. when you call Math. Trigonometry calculator. Learn vocabulary, terms, and more with flashcards, games, and other study tools. - Convert from Degrees, Minute, Seconds to Degree-Decimal - Uses attractive visual design. Trigonometric functions calculator. One minute (𝟏𝟏), is′the measure of an angle that is 1 60 part of a degree. If to someone laziness most to press buttons in the calculator, it is not necessary to write to comments! I understand, not imperial this business - to be picked the calculator. 1 One degree (𝟏𝟏) is the measure of an angle° that is 1 360 part of a complete revolution. Part 1: Similar Triangles Students: - prove a set of right-angled triangles is similar by measuring angles from a printed diagram - use given side lengths to calculate scale factor - use scale factor to calculate missing side length Part 2: Introduction to the Trig Ratios Students: - complete a table of opposite, adjacent and hypotenuse side. I understand how to do stuff like cos^-1(2) in the calculator. Show Instructions In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. (Radian measure is another way. It would be read as: an angle of $$84$$ degrees, $$17$$ minutes and $$43$$ seconds. For example, if I wish to add 12 deg. 00708°)/360° = 6800 kilometers. Find missing values using trig/Pythagorean identities. 58' 43" + 28 deg 22' 32" + 23 deg. Now don’t be like me, memorizing this thinking “Great, another unit. I understand how to do stuff like cos^-1(2) in the calculator. ) The Most Common ACT Trig Questions. The angle converter enables you to switch between degrees. No two angles can total to 180 degrees or more. a) In Trigonometry, we think of 1°=3600 seconds. Rationalize denominators when applicable. zip: will have a clock during 5 minutes. Angle "C" is the angle opposite side "c". Convert Decimal Degrees into Degrees, Minutes, Seconds, by Fiel Angela Jose 9-12 Grade, Math. This tool permits the user to convert latitude and longitude between decimal degrees and degrees, minutes, and seconds. Conversion between radian, degree, minute, seconds, grad, point, full circle. If an input is given then it can easily show the result for the given number. Radian Measure and Circular Functions. The sine, cosine, and tangent trigonometric functions show up on a scientific calculator as the buttons SIN, COS, and TAN, respectively, and the keystrokes to evaluate trigonometric functions and. Trigonometry calculator solves for all 6 trigonometric functions and for all 6 trigonometric arcfunctions, the double line display works with degrees and radians simultaneously, sine, cosine, tangent, cotangent, secant, cosecant, arcsine, arccosine, arctangent, arccotangent, arcsecant, arccosecant. If tan θ = x then tan -1 x = θ. MAT 126: Trigonometry Review for Final Exam 1. B is N60ºW from O. Just enter 2 sides and an angle, 3 sides or 1 side and 2 angles to view each step until the complete triangle is solved. There are 360 degrees in a circle. Convert Roof Pitch To Degrees The roof’s pitch is the vertical rise and it is divided into its horizontal run or span, known as slope in stair construction and the tangent function in geometry or trigonometry. Solve triangles by entering two sides and one angle, two angles and one side or three sides to find remaining values as used in trigonometry. Suppose someone walks 3 5. Although the educational system presents numerous opportunities for students to enjoy developing new skills, excelling at sports, and practicing public speaking, it seems that nothing is working when it comes to mathematics. 1 degree = 60 minutes (1 minute = 60 seconds) If you have 30 degrees and 15 minutes then you have 30 + 15minutes/60minutes = 30. This is the speed in degrees/minute. In the figure above, click on 'hide details'. The common thing for them is that they express the ratios between different sides of a right-angled triangle, from the point of view of the angle of interest, and thus some of them are transformations of the others. The gradian is a unit of measurement of an angle, equivalent to 1 / 400 of a turn, 9 / 10 of a degree, or π / 200 of a radian. You can also override the angle setting in the Mode menu of the calculator when you use these functions. 7 Equations and Inequalities: Inverse Trigonometric Functions. decimal and degrees, minutes and seconds. Each hour's time difference between the ship and the starting point therefore marks a progress of fifteen degrees of longitude to the east or west. Fractions of a degree are expressed in minutes ( ) and seconds ( ). Get the values of the trigonometric ratios of angles measured in degrees, minutes and seconds. Convert Degrees, Minutes, Seconds to Degrees (decimals) and vice versa. Trig Ratios of. Please change your browser settings and reload. minutes are a fractional part of a degree just multiply the decimal (or fractional) part of the degrees by 60 to get the minutes ___ round like any number 30. 2) Convert the following radians to degrees (round to 2 decimal places) a) 1. I walk you step-by-step through the design of the app. The angle converter enables you to switch between degrees. Angles are used in geometry and trigonometry, geography and mapping, and construction, so understanding how to work with angles can be very important. Its actual diameter = (2p × 55,000,000 km × 0. These will be marked with a red "- Prerequisite video(s):". 82469605° to degrees‐minutes‐seconds. Angle Subtraction Calculator. Combination of SohCahToa questions. Convert to Degrees, Minutes, and Seconds. 360/B is the period of the graph: the amount of time it takes to complete one cycle (we are using degrees not radians). Trigonometry Review Section 1. Note: Fill in one box to get results in the other box by clicking "Calculate" button. Angular Size Calculator Accurate for angles up to 180 degrees. 050^{\circ}$. Start studying Trigonometry Radians, Degrees, Minutes, Seconds, Etc. EX cosecant of 37 degrees. Trigonometric functions (chart) Calculator - High accuracy calculation Welcome, Guest. Calculate the inverse trigonometric function arcsin(x) in radians and degrees. radians = (Math. To see how it works, give it a try!. First, degrees are converted to decimal degrees - "Degrees + (Minutes + Seconds/60)/60. The other two values will be filled in. Convert angles between decimal degrees and degrees and minutes. 62' is read as "23 degrees 34. Step-by-step explanations are provided for each calculation. If you have an angle and want to know its complement, you subtract it from 90 degrees. 507) 3 Convert from Degrees to Radians and from Radians to Degrees (p. com provides you helpful and handy calculator resources. The degree status will be applied to that one calculation only. To figure out if your calculator is in degrees or radians mode, try finding the sin(30). When you want to input an argument to a trigonometric function in radians you switch your calculator to radians, when you want to enter an argument to a trigonometric function in degrees then you make sure it is set to degrees. If angle is measured in degrees, add or subtract 360. From 30 to 36 Degrees/Minutes/Seconds You can perform calculations using degrees, minutes, and seconds, and convert between sexagesimal and decimal values. a) cos 369. Trigonometry functions. The angle converter enables you to switch between degrees. Just enter 2 sides and an angle, 3 sides or 1 side and 2 angles to view each step until the complete triangle is solved. If to someone laziness most to press buttons in the calculator, it is not necessary to write to comments! I understand, not imperial this business - to be picked the calculator. In this project, we will demonstrate the simplicity of RIOT by creating a data logger that will plot levels of light onto a graph on a PC. It would be read as: an angle of $$84$$ degrees, $$17$$ minutes and $$43$$ seconds. 25 seconds If you have 10 degrees and 20 seconds then you have 10 +20minutes/60minutes = 10. This online calculator computes the values of elementary trigonometric functions, such as sin, cos, tg, ctg, sec, cosec for an angle, which can be set in degrees, radians, or grads. decimal and degrees, minutes and seconds. Right Triangle Problems and Exact Values. The angle subtended at the centre of the circle by one arc is called one degree and is denoted be `1^\circ`(The small circle is a symbol for degree). com explains, degrees "express directionality and angle size" while radians serve as the numerical expressions of degrees (e. Is that what you need? So if the angle is $\frac{\sqrt 7}3$ radians, that becomes about $53. 1 - Trigonometric Functions of Acute Angles A ray is a half-line that begins at a point and extends indefinitely in some direction. Select trigonometric function. An angle is a shape, formed by two lines diverging from a common point. Usually the angle in a circle is 360 degrees. - Switch between Inch and Metric - Angle converter to convert from degrees, minutes and seconds to degrees-decimal Part of the Machinist's Calculator Library of app tools!. Using inverse trig. The position (-1,0) represents 180 degrees. Before you start, decide whether you want the answer in degrees or radians. It can be used as a worksheet function (WS) in Excel. For more examples of how to solve trigonometric word problems, sign up for the Trigonometry: The Unit Circle course. Lineal values can be converted between inch and metric, and access to the angle converter is available. How to Use the Calculator to Convert FROM DMS Form Step 1: With your calculator in DEGREE MODE, input the angle measure in DMS form into the home screen. Once you learn the basic shapes, you shouldn't have much difficulty. 6° d) cot 17. Values less than one can be entered as either decimal or common fractions. Angle Subtraction Calculator. The basic trigonometric functions sine, cosine, and tangent give the ratio between two sides of a triangle with a given angle. In the diagram angle and angle are coterminal angles. 453293 milliradians Convert degrees to minutes of arc 1 degree is equal to 60 minutes of arc Convert degrees to seconds of arc 1 degree is equal to 3,600 seconds of arc Convert degrees to gradians 1 degree is equal to 1. Ks3 sats maths questions, FIRST ORDER DIFFERENTIAL SOLUTION TRIGONOMETRY CALCULATOR, Elementary Linear Algebra Step by Step Solution, math trivia algebra, conver seconds to minutes and minutes to degrees worksheet trig worksheets, decimal to square root calculator. Before example 4, we learned that we can also calculator the measure of an exterior angle in a regular polygon as 360/x, where x is the number of sides. It is also possible using the Sine and Cosine rules to find the lengths of the sides and the angles in a triangle that does not have a right-angle in it, given certain conditions. Realize that radian measure allows us to write trigonometric. Measurements used for representing the size of an angle include radians, degrees, minutes and seconds. - View a handy set of basic trig formulae - Enter angles in radians, decimal degrees or degrees, minutes, seconds - Select your preferred number of decimal places What two App Store reviewers had to say about Trig Help: "I could never remember those simple formulas. Then, decimal degrees are converted to radians - "Degrees * Pi/180". * Use e for scientific notation. Sine = sin Cosine = cos Tangent = tan Cosecant = csc Secant = sec Cotangent = cot. Overwrite the default numbers in the blue boxes below with the latitude or longitude of your location. ) The Most Common ACT Trig Questions. Flashcards. ), radians per unit time, or even revolutions per unit time. From 30 to 36 Degrees/Minutes/Seconds You can perform calculations using degrees, minutes, and seconds, and convert between sexagesimal and decimal values. For the cosine, read up the last 6 columns. Once you learn other identities like sum and difference formulas, you can calculate a lot of other angles and get exact values (not the decimal approximations the calculator will give you). The angle in radians that you want to convert. To lay-out a known angle, enter the Angle and Side Lengths to calculate the Base length needed to mark out the correct angle. Remember that there's a difference between "radians" and "π radians. Note: N30ºE means the direction is 30º east of north. Note 11B • Trigonometric Functions The trigonometric functions in this calculator work with angles that are measured either in degrees or in units called radians. The relation between the sides and angles of a right triangle is the basis for trigonometry. I got it figured out on my windows calculator. Trigonometry tables of the trig functions sin(x), cos(x), tan(x). How tall is the skyscraper? 2. Launch Excel and start a new spreadsheet. Also remember, degrees are divided in 60s. From them we get the division of time, latitude & longitude and angles in multiples of `60`. You can also override the angle setting in the Mode menu of the calculator when you use these functions. The RADIANS function is a built-in function in Excel that is categorized as a Math/Trig Function. TI-84 Graphing Calculator Tutorial Videos [TRIGONOMETRY] Links on the left have audio and video; Links on the right have captions. Through how many degrees does it rotate in 8 seconds? Show all work. Though an angle is usually measured in terms of degrees, the fractional parts of the degrees are measured in terms of minutes and seconds and their representations are as follows. Easy to use calculator to solve right triangle problems. He considered every triangle—planar or spherical—as being inscribed in a circle, so that each side becomes a chord (that is, a straight line that connects two points on a curve or surface, as shown by the inscribed triangle ABC in. Unit Planner: Trigonometry Mathematics 10 Use of a scientific calculator to find trigonometric ratios and angles Introduce students to degrees, minutes. We pick one of the two remaining angles and label it c and the third angle we label d. Degrees to Radians Formula. This can be a very quick way if the number of degrees is an obvious factor of 180. 15% to 1000 To discount a percentage. Our polygon with 150 degree interior angles (and 30 degrees exterior angles) has 12 sides. Verifying Trigonometric Identities Pt 1. Calculate distance, bearing and more between two latitude/longitude points Distance This page helps you to calculate great-circle distances between two points using the ‘ Haversine ’ formula. Trigonometry Calculator. Convert Roof Pitch To Degrees The roof’s pitch is the vertical rise and it is divided into its horizontal run or span, known as slope in stair construction and the tangent function in geometry or trigonometry. Cloud9 online IDE. Cofunction Identities. The x coordinate at 60 degrees is 1/2. Data should be separated by coma (,), space ( ), tab, or in separated lines. Use your knowledge of “special” right triangles to find missing parts. How to convert 2. Angles are used in geometry and trigonometry, geography and mapping, and construction, so understanding how to work with angles can be very important. If you want your answer to be in degrees, be sure that your calculator is set to degrees. The button sequence for entering 52 o 36‛ 14 ” is 52x36x14 x p. Thus 0° 36' 39" represents 0 + 36 / 60 + 39 / 3,600 = 0. Easy to use calculator to solve right triangle problems. Here's a calculator that will take you from angle measurement using degrees, minutes, and seconds to angle measurement expressed as a decimal number. One word of warning: most calculators operate with angles measured in one of two ways, degrees or radians. For instance, the asin() function in C returns a decimal number but I need that number to be in degrees ° minutes ' seconds ". Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more ; Related Documents. 125° (decimal degrees) to DMS format. 37 radians, this is the calculator for you. Example 1/4" =. Enter input parameter. Well, now that we know that 360 degrees (rotational measure) equals 2pi radians (distance measure), we can switch back and forth quickly and easily. Each hour's time difference between the ship and the starting point therefore marks a progress of fifteen degrees of longitude to the east or west. 62' is read as "23 degrees 34. You need to make sure the calculator is operating with the correct measurement of the angle, in this case, degrees. Some of the "how to's" include calculators plus a way of calculating things the way we would do it. decimal and degrees, minutes and seconds. ON/C, OFF key Direct function Radians are different than degrees and express angles. and its zenith distance is (90° - the altitude) = 90° - 51° = 39°. Thus, given the sine, cosine or tangent of some angle between 0 and 90 degrees, we want to find the angle with the given ratio. If your calculator gives a result of 0. 20 degrees to percent = 5. Note the use of the DEGREES( ) and RADIANS( ) function in the above example. Let's see the exact value of minutes and seconds. If angle is measured in degrees, add or subtract 360. Use the correct number of significant digits. The students are making a table and graphing it as a scatter plot. Press MODE. TI-36X Pro Scientific Calculator Advanced, four-line scientific calculator, with higher-level math and science functionality, is ideal for computer science and engineering courses in which graphing technology may not be permitted. You can operate the calculator directly from your keyboard, as well as using the buttons with your mouse. 5 times 60' or 30º30' 21. Angle Measures in Degrees Minutes & Seconds DMS. TI-36X Pro Scientific Calculator Advanced, four-line scientific calculator, with higher-level math and science functionality, is ideal for computer science and engineering courses in which graphing technology may not be permitted. Get the values for sine, cosine, tangent, cosecant, cotangent, and secant. A protractor is a common tool to help calculate angle between two lines. Computers and Trigonometric Functions [02/11/1997] How do computers and calculators calculate values for sine, cosine, and tangent? Computing Angles of a Right Triangle [09/04/1997] Is there a way to compute the other two angles of a right triangle without a calculator? If a table is required, where can I find it?. Right Triangle Trigonometry: Trigonometric Ratios The learner. ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Wednesday, Janum-y 23, 2013-1:15 to 4:15p. As we will see in the next Topic, Arc length, the radian measure can be any real number. Ideal for students, machinists, carpenters and other trades. The angular measure of an object is usually expressed in degrees, arcminutes or arcseconds. ” Because it is weird when you’re still thinking about you! Moving 1 radian (unit) is a perfectly normal distance to travel. For the last part of the problem, since the angle opposite the 7 inch side is 120 degrees, this means that three tiles will fit together exactly with this angle pointing inwards, as together they total 360 degrees. Topic 6 • Trigonometry 183 measurement anD geometry 6. Change 160 degrees to radian measure in terms of π. 1 - Trigonometric Functions of Acute Angles A ray is a half-line that begins at a point and extends indefinitely in some direction. There are 2? radians and 360 degrees in a circle. Calculate sin(x) with this trigonometry calculator. Trigonometry Test 1 Practice Chapters 1 and 2 NON-CALCULATOR PORTION *** 4 Questions *** 1. Cos(), Math. In order to calculate the cos value on the calculator, just enter the angle and select the angle type as degrees (°) or radians (rad) from the drop down select menu. Procedure for converting degrees in decimal form to degrees‐minutes‐seconds. you’ll ever need to know in Calculus Objectives: This is your review of trigonometry: angles, six trig. If angle is measured in degrees, add or subtract 360. RapidTables. For example, if I wish to add 12 deg. The angle subtended at the centre of the circle by one arc is called one degree and is denoted be `1^\circ`(The small circle is a symbol for degree). tan(x) calculator. One word of warning: most calculators operate with angles measured in one of two ways, degrees or radians. Take the decimal part of the minutes and multiply by 60, round to the nearest integer. It can be used as a worksheet function (WS) in Excel. The trig ratios can be used to find lots of information, and one of their main purposes is to help solve triangles. Degrees into radians. The functions available in the TI-84 Plus calculator’s Angle menu enable you to convert between decimal degrees and DMS (degrees, minutes, and seconds). Description. This tool permits the user to convert latitude and longitude between decimal degrees and degrees, minutes, and seconds. Notice that the adjacent side and opposite side can be positive or negative, which makes the sine, cosine and tangent change between positive and negative values also. Example 1/4" =. For example, the calculated sin π (radians) is not zero but –2. Arccos(x) Calculator. In the diagram angle and angle are coterminal angles. It has three active controls that operate independently in performing different actions of the calculator. Finding coterminal angles. Very useful when evaluating trigonometric functions (later). The main trigonometric functions are sine, cosine, and tangent, often written as sin(x), cos(x), and tan(x). We get degree measure from the ancient Babylonians. Sunrise and Sunset Calculator — City Lookup Search for a city's Sunrise and Sunset : Sunrise, Sunset, dusk, dawn and twilight, Sun distance, day length, altitude, and much more. 0)*degrees; Since this is so common, the Math class has convenient methods: public static double toRadians(double angdeg) Converts an angle measured in degrees to the equivalent in radians public static double toDegrees(double angrad) Converts an angle measured in radians to the equivalent in degrees. In order to use the trigonometric ratios to find angles in a right‑angled triangle, we need to reverse the process. Suppose we needed to find, say, 20 degrees in radians. 0 to 360 deg). Press MODE. FX 300 MS Training guide To add a percentage. b) We will multiply 47" by (1°/3600"), in which the seconds unit will cancel out. The gradian is defined as 1 / 100 of the right angle (in other words, there are 100 gradians in the right angle), which implies a full turn being 400 gradians. Degrees, Minutes, Seconds to Decimal Degrees calculator and vice-versa. Ancient Instruments and Measuring the Stars. We also get 60 minutes in an hour and 60 seconds in a minute from them, as they developed a "sexagesimal" numbering system around 2,000 B. As a worksheet function, the RADIANS function can be entered as part of a formula in a cell of a worksheet. There are 2? radians and 360 degrees in a circle. Inverse tangent calculator. Rationalize denominators when applicable. This first tutorial takes you through naming the sides of a triangle and an introduction to the trig ratios. Cosine, Right Triangles, Sine, Trigonometry, Unit Circle This is a collection of worksheets for the sine, cosine and tangent function that start at the very basic definitions and work through to the definitions involving the unit circle and radians. 988031, it is in radian mode and you need to switch it!. CF Angle v1. Every degree can be divided into 60 minutes, and each of those minutes can be divided into 60 seconds. Some of the terms used in this article are described in more detail here. The first is to use a time format of degrees:minutes:seconds. Students literally and figuratively put the pieces together by solving a variety of trig equations! Plan your 60-minute lesson in Math or Precalculus and Calculus with helpful tips from Tiffany Dawdy. Note: Fill in one box to get results in the other box by clicking "Calculate" button. The ‘Convert' button is used to execute the conversions giving you the results in degrees, minutes and seconds. What are the trigonometric values for 510 degrees? It is 82 degrees and 12 minutes, as in the question = 82. Degrees, minutes and seconds The x button is used for entering degrees, minutes and seconds. Dealing with C#. Next multiply by π and divide by 180 to get the angle in radians. Trig identities showing the relationship between sine and cosine, tangent and cotangent, and secant and cosecant. If you look in most calculators, these three trigonometric functions can be used in two angle modes, degrees and radians. The position (0, -1) represents 270 degrees. Just divide both sides by 9 and we get 20 degrees = pi/9.