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9 September, 18:34

Find two angles that satisfy the equation

Cos (2x-38) = sin (4x-66)

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Answers (1)
  1. 9 September, 21:27
    0
    59°, 239°

    Step-by-step explanation:

    cos (2x - 38) = sin (4x - 66)

    Use phase shift.

    sin (2x - 38 + 90) = sin (4x - 66)

    The angles are equal, or a multiple of 360° apart.

    2x - 38 + 90 = 4x - 66 + 360k

    Solve for x.

    118 - 360k = 2x

    x = 59 - 180k

    If k = 0, x = 59.

    If k = - 1, x = 239.
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