Question
Download Solution PDFFor any acute angle θ , sin θ + sin2 θ = 1, then the value of cos2 θ + cos4 θ = ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation :
sinθ + sin2θ = 1
sinθ = 1 - sin2θ
cos2 θ + cos4 θ = cos2θ + (cos2θ)2
⇒ cos2θ + (1 - sin2θ)2 = 1
⇒ cos2θ + sinθ2 = 1
∴ The correct answer is 1.
Last updated on Jul 9, 2025
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