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
Everleigh 3 weeks 2021-09-08T14:37:24+00:00 1 Answer 0

Answers ( )

    0
    2021-09-08T14:38:40+00:00

    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.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )