Problem

Use a calculator to find the value of the following expression rounded to two decimal places.
\[
\cos ^{-1} \frac{1}{4}
\]
$\cos ^{-1} \frac{1}{4}=\square$ radian(s)
(Type your answer in radians. Round to the nearest hundredth as needed.)

Answer

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Answer

Final Answer: The value of the expression \(\cos ^{-1} \frac{1}{4}\) rounded to two decimal places is \(\boxed{1.32}\) radians.

Steps

Step 1 :The question is asking for the inverse cosine of 1/4, rounded to two decimal places. The inverse cosine function, also known as arccos, is the inverse function of cosine. It returns the angle whose cosine is a given number.

Step 2 :Calculate the inverse cosine of 1/4.

Step 3 :The result will be in radians, as required by the question.

Step 4 :The value of the expression \(\cos ^{-1} \frac{1}{4}\) is approximately 1.32.

Step 5 :Final Answer: The value of the expression \(\cos ^{-1} \frac{1}{4}\) rounded to two decimal places is \(\boxed{1.32}\) radians.

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