Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.
$\cos^{-1}\left(\frac14\right)$

• A. 75.52
• B. 1.82
• C. 1.32
• D. 0.97

Answer: (C)

Verified step by step guidance

1. Understand that \( \cos^{-1}(x) \) is the inverse cosine function, which returns the angle whose cosine is \( x \).
2. Identify the value for which you need to find the inverse cosine: \( x = \frac{1}{4} \).
3. Use a calculator to find \( \cos^{-1}\left(\frac{1}{4}\right) \). Ensure the calculator is set to radians mode.
4. Enter \( \frac{1}{4} \) into the calculator and apply the inverse cosine function to obtain the angle in radians.
5. Round the result to two decimal places to get the final answer.