You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=55°, \text{second quadrant} 0°<\theta <360°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=20°, \text{third quadrant} -180°<\theta <0°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=32°, \text{fourth quadrant} 360°<\theta <720°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{4}, \text{third quadrant} 0<\theta <2\mathrm{\pi }$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{3}, \text{second quadrant} 2\mathrm{\pi }<\theta <4\mathrm{\pi }$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{6}, \text{fourth quadrant} -4\mathrm{\pi }<\theta <-2\mathrm{\pi }$

Without using the calculator find the exact value of $\cos 120°$

Exact value of $\tan 330°$ is $-\frac{\sqrt{a}}{3}$. Find $a$.

Exact value of $\sin 225°$ is $-\frac{\sqrt{a}}{2}$. Find $a$.