0. Functions

Evaluating hyperbolic functions Evaluate each expression without using a calculator or state that the value does not exist. Simplify answers as much as possible.

f. sinh (2 ln 3)

Which of the following is the period of the function $z=\sin (x-y)$ with respect to $x$?

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.

$\sin\theta=\frac12$; $\tan\theta$ < $0$

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.

$\sin3x=\frac{\sqrt{2}}{2},0\leq{x}\lt{2\pi}$

Solve the following equations.

$\cos3x=\sin3x,0\leq{x}\lt2\pi$

Solve the following equations.

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

Solve the following equations.

{Use of Tech} $\sin2\theta=\frac15,0\lt{\theta}\lt{\frac{\pi}{2}}$

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