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  1. If sinθ + sin²θ = 1, then the value of cos²θ + cos4 θ is
    1. 2
    2. 4
    3. 0
    4. 1
Correct Option: D

sinθ + sin²θ = 1
⇒ sinθ = 1 – sin²θ = cos²θ
∴ cos²θ + cos4θ
= cos²θ + (cos²θ) 2
= cos²θ + sin²θ = 1


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