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    Question

    If tan θ = (2/√5), then determine the value of

    cos2 θ
    A 3/5 Correct Answer Incorrect Answer
    B 5/9 Correct Answer Incorrect Answer
    C 9/16 Correct Answer Incorrect Answer
    D 5/8 Correct Answer Incorrect Answer

    Solution

    Since, sec2 θ - tan2 θ = 1 Therefore, sec2 θ = 1 + (2/√5)2 = {(5 + 4)/5} = (9/5) Therefore, cos2 θ = (1/sec2 θ) = (5/9)

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