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If sinA +sin2A =1 ,prove that …

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If sinA +sin2A =1 ,prove that cos2A +cos4A =1
  • 1 answers

S Aniruddh 6 years, 11 months ago

Given that sinA + sin2A =1 Then, sin A= 1 - sin2A Therefore, sin A = cos2A (since [1 - sin2A] is Cos2A by identity) Now substitute this in cos2A + cos4A = 1 Instead of cos2A substitute (1-sin2A) Equating it, 1 - sin2A + cos4A = 1 Now instead of sin A substitute cos2A , then sin2A = cos4A 1- cos4A + Cos4A = 1. Cos4A gets striked out Thus 1=1. Hence proved....
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