Answer :

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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