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12 October, 08:50

If sin (2x+7) = cos (4x-7), what is the value of x

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  1. 12 October, 09:09
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    Answer: 15

    Step-by-step explanation:

    Recall : if sin α = cos β, then α + β are complementary, that is

    α + β = 90

    Since sin (2x+7) = cos (4x-7), then (2x+7) and (4x-7) are complementary, that is:

    2x + 7 + 4x - 7 = 90

    6x = 90

    x = 90/6

    x = 15
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