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°

tangent

step-by-step explanation: