Solve the equation sin 2Θ = 1, for 0 ≤ Θ < 2π .

Evaluate cos⁻¹(cos(5π/4)).

Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.

cot (-17π/3)

Solving trigonometric equations Solve the following equations.

cos²Θ = 1/2 , 0 ≤ Θ < 2π

Solving trigonometric equations Solve the following equations.

sin Θ cos Θ = 0, 0 ≤ Θ < 2π

Solving trigonometric equations Solve the following equations.

sin²Θ = 1/4 , 0 ≤ Θ < 2π

Area of a circular sector Prove that the area of a sector of a circle of radius r associated with a central angle $\(\theta\)$ (measured in radians) is $A=\(\frac\)12r^2\(\theta\)$.

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