Sin theta=( sin 3 theta )/( 1 + 2 cos 2 theta)

Dear student
We have,sin3θ1+2cos2θ=3sinθ-4sin3θ1+21-2sin2θ   sin3x=3sinx-4sin3x and cos2x=1-2sin2x=sinθ3-4sin2θ1+2-4sin2θ=sinθ3-4sin2θ3-4sin2θ=sinθ
Regards

  • 5
R.H.S =

sin 3​ϴ / 1+ 2cos 2ϴ

3sinϴ - 4sin3 ϴ/ 1 + 2(1-2sin2ϴ)

Sinϴ (3-4 sin2 ϴ) / 1+2 - 4sin2ϴ
​Sinϴ (3-4 sin2 ϴ)/  (3- 4sin2ϴ)
= Sin ϴ


L.H.S = Sinϴ


Hence Proved... 

Hope it helps... 

 
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