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    Question

    Simplify the following trigonometric expression:13cos

    63 o cosec 27 o  - 5cot 56 o cot 34 o
    A 6 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    13cos 63 o cosec 27 o  - 5cot 56 o cot 34 o
    = 13cos 63 o cosec (90 o  - 63 o ) - 5cot 56 o cot (90 o  - 56 o )
    Using, cosec (90 - A) = sec A and cot (90 - A) = tan A
    = 13cos 63 o sec 63 o  - 5cot 56 o tan 56 o
    Since, sec A is reciprocal of cos A and cot A is reciprocal of tan A.
    = 13 - 5 = 8

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