If tan x = a/b, then b cos 2x + a sin 2x is equal to A. a B. b

Question

If tan x = \(\frac{a}{b},\) then b cos 2x + a sin 2x is equal to

A. a

B. b

C. \(\frac{a}{b}\)

D. \(\frac{b}{a}\)

Answer 1

Correct answer is B.

Given tan x = \(\frac{a}{b}\)

The value of the expression b cos 2x + a sin 2x

Now consider b cos 2x + a sin 2x