Q. 15

# Mark the Correct alternative in the following:If 5 sin α = 3 sin (α + 2 β) ≠ 0, then tan (α + β) is equal toA.2 tan βB. 3 tan βC. 4 tan βD. 6 tan β

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

[ using and sum of angles ]

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

Hence the answer is option C.

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