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    Question

    If sin(3╬╕) = cos(2╬╕), then find the value of ╬╕

    between 0 and 90 degrees.
    A 18┬░ Correct Answer Incorrect Answer
    B 15┬░ Correct Answer Incorrect Answer
    C 30┬░ Correct Answer Incorrect Answer
    D 36┬░ Correct Answer Incorrect Answer

    Solution

    We know that sin(3╬╕) = cos(2╬╕) implies sin(3╬╕) = sin(90┬░ - 2╬╕). Thus, 3╬╕ = 90┬░ - 2╬╕ From 3╬╕ = 90┬░ - 2╬╕, we get 5╬╕ = 90┬░, hence ╬╕ = 18┬░.

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