3. Unit Circle

Find the exact value of s in the given interval that has the given circular function value.

[ 0, π/2] ; cos s = √2/2

Find two angles in the interval [0°, 360°) that satisfy each of the following. Round answers to the nearest degree. sin θ = 0.52991926

Find each exact function value. See Example 2. cos (―4π/3)

Use a calculator to approximate the value of each expression. Give answers to six decimal places. tan 11.7689°

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

cos s = 0.7826

Use a calculator to determine whether each statement is true or false. A true statement may lead to results that differ in the last decimal place due to rounding error. cos 70° = 2 cos² 35° - 1

Graph each function over a one-period interval.

y = - (1/2) csc (x + π/2)

Find each exact function value. See Example 2.

tan 5π/6

Find two angles in the interval [0°, 360°) that satisfy each of the following. Round answers to the nearest degree. tan θ = 0.70020753