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    Question

    If cos(90° − θ) = 3/5 for an acute angle θ, find:

    A 2/5 Correct Answer Incorrect Answer
    B 3/4 Correct Answer Incorrect Answer
    C 5/7 Correct Answer Incorrect Answer
    D 3/8 Correct Answer Incorrect Answer

    Solution

    cos(90° − θ) = sinθ So sinθ = 3/5 Then cosθ = √(1 − sin²θ) = √(1 − 9/25) = √(16/25) = 4/5 tanθ = sinθ / cosθ = (3/5)/(4/5) = 3/4.

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