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    Question

    Simplify: 8sin 27┬░ sec 63┬░ + 3cot 64┬░ cot

    26┬░
    A 13 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 11 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    8sin 27┬░ sec 63┬░ + 3cot 64┬░ cot 26┬░ = 8sin 27┬░ sec (90┬░ - 27┬░) + 3cot (90┬░ - 26┬░) cot 26┬░ Using, sec (90┬░ - A) = cosec A and cot (90┬░ - A) = tan A = 8sin 27┬░ cosec 27┬░ + 3tan 26┬░ cot 26┬░ Since, cosec A is reciprocal of sin A and cot A is reciprocal of tan A. = 8 + 3 = 11

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