0. Functions

Convert the angle $540°$ from degrees to radians.

Convert the angle $-\(\frac{5\pi}{6}\)$ from radians to degrees.

Given the right triangle below, evaluate $\(\cos\]\theta\)$.

Given the right triangle below, evaluate $\(\tan\]\theta\)$.

Identify what angle, $\(\theta\)$ , satisfies the following conditions.

$\(\sin\]\theta\)=\(\frac\)12$; $\(\tan\]\theta\)$ < $0$

Identify what angle, $\(\theta\)$ , satisfies the following conditions.

$\(\cos\]\theta\)=\(\frac{\sqrt3}{2}\)$; $\(\sin\]\theta\)$ < $0$

Identify what angle, $\(\theta\)$ , satisfies the following conditions.

$\(\tan\]\theta\)=-1$; $\(\cos\]\theta\)$ > $0$

Solve the following equations.

$\(\sin\)3x=\(\frac{\sqrt{2}\)}{2},0\(\leq{x}\]\lt{2\pi}\)$

Solve the following equations.

$\(\cos\)3x=\(\sin\)3x,0\(\leq{x}\]\lt\)2\(\pi\)$

Solve the following equations.

$\(\tan\)^22\(\theta\)=1,0\(\lt{\theta}\]\lt{\pi}\)$

Solve the following equations.

{Use of Tech} $\(\sin\)2\(\theta\)=\(\frac\)15,0\(\lt{\theta}\]\lt{\frac{\pi}{2}\)}$

Solving equations Solve each equation.

√2 sin 3Θ + 1 = 2, 0 ≤ Θ ≤ π

Solving equations Solve each equation.

sin² 2Θ = 1/2, -π/2 ≤ Θ ≤ π/2

In Exercises 65–68, ABC is a right triangle with the right angle at C. The sides opposite angles A, B, and C are a, b, and c, respectively.

a. Find a and b if c = 2, B = π/3.

b. Find a and c if b = 2, B = π/3.

In Exercises 65–68, ABC is a right triangle with the right angle at C. The sides opposite angles A, B, and C are a, b, and c, respectively.

a. Express sin A in terms of a and c.

b. Express sin A in terms of b and c.