Find two angles on the unit circle

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Find two angles

\theta

on the unit circle, with

0^\circ\leq\theta\leq360^\circ

, such that: (a)

\tan\theta=4

(b)

\cos\theta=0.83

(c)

\sin\theta=\frac{3}{5}

(d)

\cos\theta=0

(e)

\tan\theta=6.67

(f)

\cos\theta=\frac{2}{17}