Question

    If cot8A = tan(A+8˚), find the value of A? Given that

    8A and A+8 are acute angles.
    A 13.75˚ Correct Answer Incorrect Answer
    B 8˚ Correct Answer Incorrect Answer
    C 13˚ Correct Answer Incorrect Answer
    D 12.75˚ 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 cot8A = tan(A+8˚) Hence 8A + A+8˚= 90˚ So 9A+8˚ = 90˚ or 9A = 90˚-8˚=72˚ or A = = 8˚ 

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