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01 40 .If cos θ + cos2 θ-1, then prove that sin2 θ + sin4 θ1.OR

Answer»

Let theta = A

Given,cos A + cos^2 A = 1cos A = 1 - cos^2 Asin^2 A = cos A

Then,sin^2 A + sin^4 A= sin^2 A(1 + sin^2 A)= cos A + cos^2 A= 1

Hence proved



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