5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Inverse Sine, Cosine, & Tangent

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Multiple Choice

Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.
$\tan^{-1}\left(5\right)$

– 5

– 3.38

1.37

78.69

Verified step by step guidance

Understand that the problem requires evaluating the inverse tangent function, $ \tan^{-1}(5) $, which gives the angle whose tangent is 5.

Use a calculator to find $ \tan^{-1}(5) $. Ensure your calculator is set to radians mode, as the answer needs to be in radians.

Once you have the angle in radians from the calculator, round this value to two decimal places as instructed.

Subtract 5 from the rounded value obtained from $ \tan^{-1}(5) $.

Subtract 3.38 from the result of the previous step to complete the expression evaluation.

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Expert video explanations

Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places. tan−1(5)\tan^{-1}\left(5\right)tan−1(5)