Question

    If cot2A = tan(A+6˚ )  , find the value of A? Given

    that 2A and A+6˚  are acute angles.
    A 16˚ Correct Answer Incorrect Answer
    B 22˚ Correct Answer Incorrect Answer
    C 28˚ Correct Answer Incorrect Answer
    D 24˚ Correct Answer Incorrect Answer

    Solution

    Always remember that cot & tan are compliment to each other  So tan ɵ = cot( 90-ɵ) So it is given that cot2A = tan(A+6˚ ) Hence 2A + A+6˚  = 90˚ So 3A+6˚  = 90˚ or 3A = 90˚ -6˚  =84˚ or A = = 28˚  

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