Evaluate each expression without using a calculator.

arccos (cos (3π/4))

Evaluate each expression without using a calculator.

tan⁻¹ (tan (π/4))

Evaluate each expression without using a calculator.

sin (arccos (3/4))

Evaluate each expression without using a calculator.

cos (csc⁻¹ (-2))

Write each trigonometric expression as an algebraic expression in u, for u > 0.

tan (arcsec (√1―u²) / u)

Find the exact value of each real number y. Do not use a calculator.

y = sin⁻¹ √2/2

Solve each equation for x.

y = 1/2 tan (3x + 2), for x in [-2/3 - π/6, -2/3 + π/6]

Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.) 

y = arctan 1.1111111