Solve for the unknown.

a) sin (x - 5°) = cos (35°)

b) sin (2x - 17°) = cos (x - 4°)

c) sin (x) = cos (x)

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Step-by-step explanation:

Use shifts to write sine and cosine in terms of each other.

a) sin (x - 5°) = cos (35°)

sin (x - 5°) = sin (90° - 35°)

sin (x - 5°) = sin (55°)

x - 5° = 55°

x = 60°

b) sin (2x - 17°) = cos (x - 4°)

sin (2x - 17°) = sin (90° - (x - 4°))

sin (2x - 17°) = sin (90° - x + 4°)

sin (2x - 17°) = sin (94° - x)

2x - 17° = 94° - x

3x = 111°

x = 37°

c) sin (x) = cos (x)

sin (x) = sin (90° - x)

x = 90° - x

2x = 90°

x = 45°