Let be an angle satisfying with lying in the second quadrant

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

Problem

Let

\theta

be an angle satisfying

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

with

\theta

lying in the second quadrant. Answer the following. (i) Find the value of

\cos \theta

. (ii) Calculate the value of

2\sin \theta \cos \theta

. (iii) Hence determine the exact value of

\sin 2\theta

. Show all steps of your calculation.