Question

use the aleks calculator to evaluate each expression. give your answers in radians. round them to the nearest hundredth. if applicable, click on \undefined.\

$$\cos^{-1}(-0.88)=$$

$$\tan^{-1}(0.46)=$$

$$\sin^{-1}(-1.21)=$$

Explanation:

Step1: Evaluate $\cos^{-1}(-0.88)$

Using a calculator, $\cos^{-1}(-0.88)\approx2.66$ radians.

Step2: Evaluate $\tan^{-1}(0.46)$

Using a calculator, $\tan^{-1}(0.46)\approx0.43$ radians.

Step3: Evaluate $\sin^{-1}(-1.21)$

The domain of the inverse sine function $y = \sin^{-1}(x)$ is $- 1\leqslant x\leqslant1$. Since $-1.21<-1$, $\sin^{-1}(-1.21)$ is undefined.

Answer:

$\cos^{-1}(-0.88)\approx2.66$; $\tan^{-1}(0.46)\approx0.43$; $\sin^{-1}(-1.21)$ is undefined.