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If sin θ + sin2 θ = 1, then the value of cos2 θ + cos4 θ is equal to: |
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Answer» Correct Answer - Option 4 : 1 Given - sin θ + sin2 θ = 1 Formula used - sin2θ + cos2θ = 1 Solution - sin θ + sin2 θ = 1 ⇒ sinθ = 1 - sin2θ = cos2θ ⇒ sinθ = cos2θ ⇒ cos2θ + cos4θ = sinθ + sin2θ = 1 ∴ cos2θ + cos4θ = 1. |
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