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    Question

    If sec2 θ = 4, then find the value of

    sin2 θ + cosec (90 - θ) where 0o < θ < 90o.
    A 7/4 Correct Answer Incorrect Answer
    B 15/4 Correct Answer Incorrect Answer
    C 11/4 Correct Answer Incorrect Answer
    D 7/2 Correct Answer Incorrect Answer

    Solution

    Given: sec2 θ = 4

    So, sec θ = 2

    Or, sec θ = sec 60o

    So, θ = 60o

    So, required value = sin2 θ + cosec (90 - θ) = sin2 60o + cosec (90o - 60o)

    = (√3/2) 2 + 2 = (3/4) + 2 = (11/4)

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