a. Draw a unit circle in a uv-coordinate system. In this coordinate system, draw an

Chapter 3, Problem R.5

(choose chapter or problem)

a. Draw a unit circle in a uv-coordinate system. In this coordinate system, draw an x-axis vertically with its origin at the point (u, v) = (1, 0). Show where the points x = 1, 2, and 3 units map onto the unit circle as the x-axis is wrapped around it. b. How long is the arc of a unit circle subtended by a central angle of 60? Of 2.3 radians? c. Find sin 2 and sin d. Find the value of the inverse trigonometric function cos1 0. e. Find the exact values (no decimals) for the circular functions cos , sec , and tan . f. Sketch the graphs of the parent circular functions y = cos x and y = sin x. g. Explain how to find the period of the circular function y = 3 + 4 sin (x 2) from the constants in the equation. Sketch the graph. Confirm by your grapher that your sketch is correct. h. Find a particular equation for the circular function sinusoid for which half a cycle is shown in Figure 3-8c. Figure 3-8c R