Give the degree measure of $\theta$ if it exists. Do not use a calculator.
\[
\theta=\cos ^{-1}(2)
\]
Select the correct choice below and fill in any answer boxes in your choice.
A. $\theta=7^{\circ}$ (Type your answer in degrees.)
B. $\cos ^{-1}(2)$ does not exist.

Answer

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Answer

So, the final answer is $\boxed{\cos^{-1}(2)\text{ does not exist}}$

Steps

Step 1 ：Given that $\theta=\cos^{-1}(2)$

Step 2 ：The cosine function returns values between -1 and 1 for all real numbers.

Step 3 ：Therefore, $\cos^{-1}(2)$ does not exist because 2 is outside the range of the cosine function.

Step 4 ：So, the final answer is $\boxed{\cos^{-1}(2)\text{ does not exist}}$