Let be an angle such that and lies in the second quadrant

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let

\theta

be an angle such that

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

and

\theta

lies in the second quadrant. Answer the following: (i) Find

\cos\theta

and

\tan\theta

. (ii) Determine the exact values of

\csc\theta,\;\sec\theta

and

\cot\theta

. (iii) Verify that

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

for the values obtained.