Question

If 5 sin α = 3 sin (α + 2 β) ≠ 0, then tan (α + β) is equal to

A. 2 tan β

B. 3 tan β

C. 4 tan β

D. 6 tan β

Answer 1

Correct answer is C.

Given 5 sin α = 3 sin (α + 2 β) ≠ 0, then the value of tan (α + β) is

Consider the given equation,

5 sin α = 3 sin (α + 2 β)

By applying componendo and dividendo

We get

This clearly shows, tan (α + β) = 4 tan β