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    Question

    If θ is a positive acute angle and cos²θ + cos⁴θ =

    1, then the value of tan²θ + tan⁴θ is?
    A 1 Correct Answer Incorrect Answer
    C √2 Correct Answer Incorrect Answer
    D √3 Correct Answer Incorrect Answer

    Solution

    cos²θ + cos⁴θ = 1 cos⁴θ = 1 - cos²θ cos⁴θ = sin²θ cos²θ = sin²θ/cos²θ tan²θ = cos²θ tan⁴θ = cos⁴θ tan²θ + tan⁴θ = cos²θ + cos⁴θ  = 1

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