(a) Prove that for any real numbers and , the expression can be rewritten as a…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

(a) Prove that for any real numbers

A

and

B

, the expression

\sin A+\sin B

can be rewritten as a product of two trigonometric factors. (b) Using the result of part (a), express

\sin x+\sin 3x

as a product. (c) Hence obtain the general solution of the equation

\sin x+\sin 3x=0