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  1. If θ be a positive acute angle satisfying cos²θ+ cos4 θ = 1, then the value of tan²θ+ tan4 θ is
    1. 3
      2
    2. 1
    3. 1
      2
    4. 0
Correct Option: B

cos²θ + cos4θ = 1
⇒ cos3θ = 1 – cos²θ = sin²θ
⇒ tan²θ = cos²θ
∴ tan²θ + tan3θ = cos²θ + cos3θ
= 1


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