3. a) Without using a calculator, find the exact value of the expression: $\sin^{-1}(-0.5)$
b) Without using a calculator, find the exact value of the expression: $\tan^{-1}(-1)$
c) Use calculator to find the exact value of the expression: $\cos^{-1}\left(-\frac{\sqrt{6}}{3}\right)$
d) Without using a calculator, find the exact value of the expression: $\sin^{-1}\left[\sin\left(\frac{4\pi}{7}\right)\right]$
e) Without using a calculator, find the exact value of the expression: $\tan(\tan^{-1}(-9.5))$
f) Use a sketch to find the exact value of the expression: $\cos(\sin^{-1}\frac{1}{4})$
g) Use a right triangle to write the expression as an algebraic expression, $\sin(\tan^{-1}x)$
Assume that x is positive and in the domain of given inverse trigonometric function