Given that and that lies in the second quadrant

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

Problem

Given that

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

and that

\theta

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

\cos\theta

and

\tan\theta

. (ii) Calculate

\sin 2\theta

and

\cos 2\theta

. (iii) Hence find the numerical value of

\sin 2\theta+\cos 2\theta