3. Unit Circle

Identify the quadrant that the given angle is located in.

$\frac{7\pi}{4}$ radians

Identify the quadrant that the given angle is located in.

$\frac{\pi}{7}$ radians

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

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

ω = 2π/3 radians per sec, t = 3 sec

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