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CBSE Class 10 Answered

Trignometric identities question
Asked by | 05 Oct, 2008, 09:10: PM
answered-by-expert Expert Answer

taking Lcm and solve we get     sin2Φ(1-sin2θ)2 + sin4θcos2Φ = sin2Φ (1-sin2Φ )

further solving in terma of sinΦ and sinθ       we get    sin4θ + sin4Φ  = 2sin2Φ sin2θ                                           which gives (sin2θ - sin2Φ)2 =0   =====> sin θ  =  sinΦ   ===> θ =  Φ 

so putting θ =  Φ in second eqn. we get  sin2θ + cos2θ = 1    which is true

Answered by | 16 Dec, 2008, 10:04: PM
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