Find the acute angle solution to the following equation involving cofunctions. P is in degrees.
$\sec (\frac{4P}{5}+20)=\csc (\frac{5P}{8}+\frac{223}{4})$

Write the expression in terms of the appropriate cofunction.

$\cos \left(\frac{19\pi }{45}\right)$

Write the expression in terms of the appropriate cofunction.

$\cot \left(25°\right)$

Find the acute angle solution to the following equation involving cofunctions. $\theta$ is in degrees.

$\(\cos\[\left\)(2\(\theta\)+15\(\right\))=\(\sin\]\left\)(5\(\theta\)+12\(\right\))$

Find the acute angle solution to the following equation involving cofunctions. M is in radians.

$\tan (\frac{M}{2}+5)=\cot (M-5)$