Angles having the same sine value.

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

Problem

Angles having the same sine value. (i) Find all angles

\theta

between

0^\circ

and

360^\circ

that satisfy

\sin \theta = \sin 150^\circ

. (ii) For each angle obtained in part (i), write the exact coordinates

(\cos \theta,\sin \theta)

on the unit circle. (iii) For the angles obtained, compare the corresponding values of

\tan \theta

and state any pattern that you observe, supporting your statement with the calculated values.