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.\

$$\sin^{-1}(1.62)=$$

$$\tan^{-1}(0.66)=$$

$$\cos^{-1}(-0.64)=$$

Explanation:

Step1: Evaluate $\sin^{-1}(1.62)$

The domain of the inverse sine function \(y = \sin^{-1}(x)\) is \([- 1,1]\). Since \(1.62>1\), \(\sin^{-1}(1.62)\) is undefined.

Step2: Evaluate \(\tan^{-1}(0.66)\)

Using a calculator in radian mode, \(\tan^{-1}(0.66)\approx0.58\) (rounded to the nearest hundredth).

Step3: Evaluate \(\cos^{-1}(-0.64)\)

Using a calculator in radian mode, \(\cos^{-1}(-0.64)\approx2.27\) (rounded to the nearest hundredth).

Answer:

\(\sin^{-1}(1.62)=\text{Undefined}\), \(\tan^{-1}(0.66) = 0.58\), \(\cos^{-1}(-0.64)=2.27\)