A point lies on the unit circle and corresponds to an angle situated in the second…

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

A point

P(-\dfrac{3}{5},\,y)

lies on the unit circle and corresponds to an angle

\theta

situated in the second quadrant. Using this information, answer the following. (i) Determine the

y

-coordinate of the point

P

. (ii) Hence find the value of

\tan \theta

. (iii) Verify numerically that

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

for your values of

\sin \theta

and

\cos \theta

. Present complete working.