An angle measures radians.

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

Problem

An angle

\theta

measures

\dfrac{7\pi}{4}

radians. (i) Locate the terminal side of

\theta

on the unit circle and state the sign of its

x

– and

y

–coordinates. (ii) Determine the exact values of

\sin\theta

and

\cos\theta

. (iii) Using these values, find

\tan\theta

\cot\theta

\sec\theta

and

\csc\theta

. (iv) Show that

\sin^{2}\theta+\cos^{2}\theta=1

for this angle.