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}(1.33)=\\) \\(\tan^{-1}(2.14)=\\) \\(\cos^{-1}(-0.31)=\\)

Explanation:

Step1: Analyze \( \sin^{-1}(1.33) \)

The domain of the inverse sine function \( y = \sin^{-1}(x) \) is \( -1 \leq x \leq 1 \). Since \( 1.33>1 \), \( \sin^{-1}(1.33) \) is undefined.

Step2: Evaluate \( \tan^{-1}(2.14) \)

Using a calculator (in radian mode), we find \( \tan^{-1}(2.14) \approx 1.14 \) (rounded to the nearest hundredth).

Step3: Evaluate \( \cos^{-1}(-0.31) \)

Using a calculator (in radian mode), we find \( \cos^{-1}(-0.31) \approx 1.88 \) (rounded to the nearest hundredth).

Answer:

\( \sin^{-1}(1.33) \): Undefined
\( \tan^{-1}(2.14) \approx \boldsymbol{1.14} \)
\( \cos^{-1}(-0.31) \approx \boldsymbol{1.88} \)