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    Question

    If cos(90° āˆ’ Īø) = 3/5 for an acute angle Īø, 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° āˆ’ Īø) = sinĪø So sinĪø = 3/5 Then cosĪø = √(1 āˆ’ sin²θ) = √(1 āˆ’ 9/25) = √(16/25) = 4/5 tanĪø = sinĪø / cosĪø = (3/5)/(4/5) = 3/4.

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