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    Question

    If cos θ + sec θ = √3, then the value of cos³ θ+

    sec³ θ is:
    A 2√3 Correct Answer Incorrect Answer
    B 1/√3 Correct Answer Incorrect Answer
    C √3 Correct Answer Incorrect Answer

    Solution

    cos θ + sec θ = √3 cos³ θ+ sec³ θ = (cos θ + sec θ)3 - 3 ×cos θ × sec θ (cos θ + sec θ) = (√3)3 - 3× cos θ×1/ cos θ (√3) =3√3 -3√3 =0

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