Find one value of θ or x that satisfies each of the following.
sin θ = cos(2θ + 30°)

Write each function as an expression involving functions of θ or x alone. See Example 2.

cos(θ - 30°)

Use identities to fill in each blank with the appropriate trigonometric function name.

tan 24° = 1/ _____ 66°

Write each function as an expression involving functions of θ or x alone. See Example 2.

cos(45° - θ)

Find one value of θ or x that satisfies each of the following.

tan θ = cot(45° + 2θ)

Write each function as an expression involving functions of θ or x alone. See Example 2.

sin(45° + θ)

Find one value of θ or x that satisfies each of the following.

sec x = csc (2π/3)

Find one value of θ or x that satisfies each of the following.

cos x = sin (π/12)

Write each function as an expression involving functions of θ or x alone. See Example 2.

tan (π/4 + x)