use the aleks calculator to evaluate each expression. give your answers in radians. round them to the…

use the aleks calculator to evaluate each expression. give your answers in radians. round them to the nearest hundredth. if applicable, click on \undefined.\ tan^(-1)(-0.8)= cos^(-1)(1.86)= sin^(-1)(0.63)=

use the aleks calculator to evaluate each expression. give your answers in radians. round them to the nearest hundredth. if applicable, click on \undefined.\ tan^(-1)(-0.8)= cos^(-1)(1.86)= sin^(-1)(0.63)=

Answer

Explanation:

Step1: Recall domain of inverse - trig functions

The domain of $y = \tan^{-1}(x)$ is $(-\infty,\infty)$, the domain of $y=\cos^{-1}(x)$ is $[- 1,1]$, and the domain of $y = \sin^{-1}(x)$ is $[-1,1]$.

Step2: Evaluate $\tan^{-1}(-0.8)$

Using a calculator in radian - mode, $\tan^{-1}(-0.8)\approx - 0.67$.

Step3: Evaluate $\cos^{-1}(1.86)$

Since $1.86>1$, $\cos^{-1}(1.86)$ is undefined.

Step4: Evaluate $\sin^{-1}(0.63)$

Using a calculator in radian - mode, $\sin^{-1}(0.63)\approx0.68$.

Answer:

$\tan^{-1}(-0.8)\approx - 0.67$ $\cos^{-1}(1.86)$: Undefined $\sin^{-1}(0.63)\approx0.68$