Question

    If sin5A = cos(2A+20°), then what is the value of A?

    Given that 5A is an acute angle.
    A 16 Correct Answer Incorrect Answer
    B 18.5 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 ɵ = cos( 90-ɵ) So it is given that sin5A = cos(2A+20°) Hence 5A + 2A + 20° = 90° So 7A + 20° = 90° or 7A =90°-20° = 70° or A =  = 10°

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