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2 May, 23:09

Sin (3x+19) = Cos (5x-25)

What is the value of x?

A) 6

B) 12

C) 18

D) 24

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Answers (2)
  1. 3 May, 02:01
    0
    12 B

    Took the test before
  2. 3 May, 02:13
    0
    B

    Step-by-step explanation:

    Using the cofunction identity

    sin x = cos (90 - x)

    Given

    sin (3x + 19) = cos (5x - 25), then

    3x + 19 = 90 - (5x - 25)

    3x + 19 = 90 - 5x + 25

    3x + 19 = 115 - 5x (add 5x to both sides)

    8x + 19 = 115 (subtract 19 from both sides)

    8x = 96 (divide both sides by 8)

    x = 12 → B
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