QuestionFind the exact solution of each $x$ for each inverse equation. a. $2 \cos ^{-1} x=\pi$ b. $3 \tan ^{-1} x=\pi$

Studdy Solution
Use the property of the inverse tangent function to solve for $x$. Recall that if $\tan^{-1} x = \theta$, then $\tan \theta = x$.
$$\tan \left(\frac{\pi}{3}\right) = x$$
Since $\tan \left(\frac{\pi}{3}\right) = \sqrt{3}$, we have:
$$x = \sqrt{3}$$
The exact solutions for $x$ are: a. $x = 0$ b. $x = \sqrt{3}$