5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Evaluate the expression.

$\cos\left(\sin^{-1}1\right)$

Evaluate the expression.

$\sin^{-1}\left(\cos\frac{2\pi}{3}\right)$

Evaluate the expression.

$\cos\left(\cos^{-1}\left(-\sqrt3\right)\right)$

Evaluate the expression.

$\cos^{-1}\left(\cos\left(\frac{\pi}{2}\right)\right)$

Evaluate the expression.

$\tan^{-1}\left(\tan\frac{2\pi}{3}\right)$

Evaluate the expression.

$\tan\left(\cos^{-1}\frac{12}{13}\right)$

Evaluate the expression.

$\sin\left(\tan^{-1}\frac{15}{8}\right)$

Evaluate the expression.

$\cos\left(\sin^{-1}\left(-\frac{7}{25}\right)\right)$