Mathematics

Problem

Given that

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

and that

\theta

lies in the second quadrant, answer the following: a. (i) Determine

\cos\theta

and

\tan\theta

. b. (ii) Calculate

\sin 2\theta

and

\cos 2\theta

. c. (iii) Hence find the numerical value of

\sin 2\theta+\cos 2\theta