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    Question

    If sinθ = 5/13 for an acute angle θ, find: (a)

    cosθ, (b) tan(90° − θ).
    A 11/13 and 12/7 Correct Answer Incorrect Answer
    B 12/17 and 13/5 Correct Answer Incorrect Answer
    C 12/13 and 12/5 Correct Answer Incorrect Answer
    D 11/10 and 17/5 Correct Answer Incorrect Answer

    Solution

    sinθ = 5/13 ⇒ opposite = 5, hypotenuse = 13 cosθ = √(1 − sin²θ) = √(1 − 25/169) = √(144/169) = 12/13 tan(90° − θ) = cotθ = cosθ/sinθ = (12/13)/(5/13) = 12/5.

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