Find an angle less than $360°$ that has the same cosine as:

$500°$       [Enter the value excluding degree symbol]

Find an angle less than $2\mathrm{\pi }$ that has the same cosine as:

$\frac{\mathrm{\pi }}{8}$

If the answer is $\frac{15\mathrm{\pi }}{x}$, then find the value of $x$.

Find an angle less than $2\mathrm{\pi }$ that has the same cosine as:

$\frac{\mathrm{\pi }}{10}$

If the answer is $\frac{19\mathrm{\pi }}{x}$, then find the value of $x$.

Find an angle less than $2\mathrm{\pi }$ that has the same cosine as:

$\frac{3\mathrm{\pi }}{2}$

If the answer is $\frac{\mathrm{\pi }}{x}$, then find the value of $x$.

Find an angle less than $2\mathrm{\pi }$ that has the same cosine as:

$\frac{9\mathrm{\pi }}{4}$

If the answer is $\frac{\mathrm{\pi }}{x}$, then find the value of $x$.

Solve the equations for $0\le \theta \le 2\pi$.

$\sin \theta =\frac{1}{2}$

Solve the equations for $0\le \theta \le 2\pi$.

$\cos \theta =\frac{\sqrt{2}}{2}$

Solve the equations for $0\le \theta \le 2\pi$.

$\tan \theta =\sqrt{3}$