Question

if
sinx = 3sin(x+2y) then find value of

tan(x+y) + 2tan2y

​

Answer 1

Answer:

3=sin(x+2y)sinx  

Applying componendo and dividendo

42=sin(x+2y)+sinxsin(x+2y)−sinx

Using sinA+sinB=2sin(A+B/2)cos(A−B/2)

and. sinA−sinB=2sin(A−B/2)cos(A+B/2) we get:

2=sin(x+y)cosycos(x+y)siny

⇒tan(x+y)=2tany

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