Find the exact value of each real number y if it exists. Do not use a calculator.
y = sin⁻¹ √3

Solve each equation for x, where x is restricted to the given interval.

y = √2 + 3 sec 2x, for x in [0, π/4) ⋃ (π/4, π/2]

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

y = arccos (―√3/2)

Evaluate each expression without using a calculator.

cos (arccos (-1))

Solve each equation for exact solutions.

-4 arcsin x = π

Evaluate each expression without using a calculator.

arccos (cos (3π/4))

Solve each equation for exact solutions.

4/3 cos⁻¹ x/4 = π

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

y = cot⁻¹ (―1)

Evaluate each expression without using a calculator.

tan⁻¹ (tan (π/4))