Find two angles that satisfy the equation

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

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.