Use the formula ω = θ/t to find the value of the missing variable.


ω = 2π/3 radians per sec, t = 3 sec

Identify the quadrant that the given angle is located in.

$\(\frac{2\pi}{3}\)$ radians

Identify the quadrant that the given angle is located in.

$\(\frac{6\pi}{5}\)$ radians

Test whether the point is on the unit circle by plugging it into the equation, $x^2+y^2=1$.

$\(\left\)(\(\frac{-\sqrt2}{2}\),\(\frac{-\sqrt2}{2}\]\right\))$

In Exercises 1–4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.

Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.

s = π/2

Use the formula ω = θ/t to find the value of the missing variable.

ω = 0.91 radian per min, t = 8.1 min

Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.

s = 2π

Use the formula ω = θ/t to find the value of the missing variable.

θ = 3π/4 radians, t = 8 sec