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    Question

    What is the simplified value of the given

    expression? 3(sin┬▓ 50┬░ + sin┬▓ 40┬░) + 6sin 30┬░ - (3sec 60┬░ + cot 45┬░)
    A 1 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D -1 Correct Answer Incorrect Answer

    Solution

    3(sin ┬▓ 50┬░ + sin ┬▓ 40┬░) + 6sin 30┬░ - (3sec 60┬░ + cot 45┬░)
    Using, sin(90┬░ - A) = cos A
    = 3{sin ┬▓ 50┬░ + sin ┬▓ (90 - 50)┬░} + 6 x 1/2 - {3 x 2 + 1}
    = 3(sin ┬▓ 50┬░ + cos ┬▓ 50┬░) + 3 - 7
    Using, sin ┬▓ A + cos ┬▓ A = 1
    = 3 x 1 + 3 - 7 = 3 + 3 - 7 = -1

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