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    Question

    If sin3A = cos(A-26), then what is the value of A? Given

    that 3A is an acute angle.
    A 20 Correct Answer Incorrect Answer
    B 21 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Always remember that sin & cos are compliment to each other So sin ɵ = cos( 90-ɵ)  So it is given that sin3A = cos(A-26) Hence 3A + A-26° = 90° So 4A-26° = 90° or 4A =90°+26° =116 or A = = 29°

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