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

• A. – 5
• B. – 3.38
• C. 1.37
• D. 78.69

Answer: (C)

Verified step by step guidance

1. Understand that the problem requires evaluating the inverse tangent function, \( \tan^{-1}(5) \), which gives the angle whose tangent is 5.
2. Use a calculator to find \( \tan^{-1}(5) \). Ensure the calculator is set to radian mode, as the answer needs to be expressed in radians.
3. Once you have the angle in radians, round the result to two decimal places as specified in the problem.
4. Review the options provided: -5, -3.38, 1.37, and 78.69. Compare your rounded result to these options to identify the correct answer.
5. Remember that \( \tan^{-1}(5) \) should be a positive angle in radians, which helps in verifying the correct choice among the options.