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\leq\theta\leq2\pi

, such that: (1) (a)

\tan\theta=\frac{1}{3}

(2) (b)

\cos\theta=\frac{3}{7}

(3) (c)

\sin\theta=0.61

(4) (d)

\cos\theta=\frac{1}{4}

(5) (e)

\tan\theta=0.114

(6) (f)

\sin\theta=\frac{1}{6}