Find two angles that satisfy the equation Cos(2x-38)=sin(4x-66) Question Find two angles that satisfy the equation Cos(2x-38)=sin(4x-66) in progress 0 Math Everleigh 3 weeks 2021-09-08T14:37:24+00:00 2021-09-08T14:37:24+00:00 1 Answer 0

## Answers ( )

Answer: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.