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    Question

    If sin3A = cos(5A-30┬░), then what is the value of A?

    Given that 3A is an acute angle.
    A 16 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    Always remember that sin & cos are compliment to each other So sin ╔╡ = cos( 90-╔╡) So it is given that sin3A = cos(5A-30┬░) Hence 3A + 5A - 30┬░ = 90┬░ So 8A - 30┬░ = 90┬░ or 8A =90┬░+30┬░ = 120┬░ or A =┬а = 15┬░

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