Mathematics

Problem

Let

\theta

be an angle such that

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

and

\theta

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

\cos\theta

and

\tan\theta

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

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

in simplest form."