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21 September, 03:36

What is the value of x?

sin (x+37) °=cos (2x+8) °

Enter your answer in the box.

x =

+3
Answers (1)
  1. 21 September, 03:39
    0
    Using trigonometry formula: sin a = cos (90 - a)

    cos (2x + 8) = sin (x + 37)

    cos (90 - x - 37) = cos (53 - x)

    Property of cosine function: (2x + 8) = ± (53 - x)

    2x + 8 = 53 - x

    3x = 45

    x = 15°

    2x + 8 = - 53 + x

    x = - 61°

    Answer: x = 15°, x = - 61°
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