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

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Let

\theta

be an angle such that

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

and

\theta

lies in the second quadrant. (i) Find the exact values of

\cos\theta

and

\tan\theta

. (ii) Using the results of part (i), evaluate

S=\sec\theta+\csc\theta-\cot\theta

in simplest form."