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}(-0.34) = \\)

Explanation:

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

The domain of the inverse sine function $\sin^{-1}(x)$ 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), $\tan^{-1}(0.66) \approx 0.58$ (rounded to the nearest hundredth).

Step3: Evaluate $\cos^{-1}(-0.34)$

Using a calculator (in radian mode), $\cos^{-1}(-0.34) \approx 1.92$ (rounded to the nearest hundredth).

Answer:

$\sin^{-1}(1.62)$: Undefined
$\tan^{-1}(0.66)$: $\approx 0.58$
$\cos^{-1}(-0.34)$: $\approx 1.92$