sketch 150 degrees in standard position

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• sketch 150 degrees in standard position

  Reference angle is the acute angle between the terminal side of the given angle and the horizontal axis.. (d) Find the reference angle θ′. (c) Convert the angle to radian measure. It makes sense here to state the angle in terms of its positive coterminal angle. To find this, add a positive rotation (360 degrees) until you get a positive angle. (a) Sketch the angle in standard position. –720° (II) Angles measured in Degrees and Radians Degree Measure Radian Measure What is radian measure? Title: Drawing Angles in Standard Position Author: Tess Created Date: The ray on the x-axis is called the initial side and the other ray is called the terminal side. 270° 3. Standard position means that the positive x axis (the horizontal axis, and to the right hand side) is 0 degrees, and we rotate in the counter-clockwise directions. Since #color(red)(theta = (-160^@)#, we must determine the Coterminal angle. The reference angle is the angle from the sketch to the x-axis, in this case, 60 degrees. This angle would measure 60^o as shown in the figure . Example: Sketch each angle in standard position. The ray on the x-axis is called the initial side and the other ray is called the terminal side.. Standard Position: An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. Angle of 0^o is taken to be along the positive x-axis. It depends on the Quadrant the given angle belongs to, in degrees.. We will sketch the given angle in standard position.. Explained below. Add +360 degrees until you have a positive angle, then sketch. Since the given angle is negative, we need to measure in the clockwise direction.. -240+360=120 Since 120 is positive, you can stop here. Explore angles in standard position, coterminal angles using an HTML 5 applet. The reference angle is the acute angle which this line OP makes with the x- axis. Let's try our hand at drawing an angle in standard position measured in degrees. If we consider the unit circle Angles in Standard Position The angle of 240^o is drawn as shown in the figure. 1. (b) Determine a coterminal angle in the interval [0°, 360°). Then turn anti-clockwise by 240 degrees to draw the angle as desired. 150° 2. Answers to Drawing Angles in Standard Position 1) x y 2) x y 3) x y 4) x y 5) x y 6) x y 7) x y 8) x y 9) x y 10) x y 11) x y 12) x y 13) x y 14) x y 15) x y 16) x y 17) x y 18) x y 19) x y 20) x y. 510° 4. You start with the x - and y -axes, which cross at a right (90°) angle. –210° 5. If the terminal side of an angle lies "on" the axes (such as 0º, 90º, 180º, 270º, 360º ), it is called a quadrantal angle. Plotting program for angles. Draw Angles - Plotting Program. (e) Find the exact values of the six trigonometric functions of θ. It is indicated along the line OP in the figure. Consider the angle θ = –150°. One revolution is equivalent to the circumference C = 2πr. You can draw an angle in standard position by positioning its vertex at the origin and one "ray" on the positive x-axis. The position of the first arm remains, the second arm rotates counter-clockwise at increasing angle. Remember, there are 360° in a full circle.

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