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    Question

    If cot5A = tan(3A-14Ëš), find the value of A? Given that

    5A and 3A-14Ëš are acute angles.
    A 12.75Ëš Correct Answer Incorrect Answer
    B 13Ëš Correct Answer Incorrect Answer
    C 14Ëš Correct Answer Incorrect Answer
    D 12.5Ëš 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 cot5A = tan(3A-14˚) Hence 5A + 3A - 14˚= 90˚ So 8A - 14˚ = 90˚ or 8A = 90˚+14˚=104˚ or A = `104^@/8` = 13˚

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