Problem

Find the exact value of each of the remaining trigonometric functions of $\theta$.
\[
\sin \theta=1
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\cos \theta=$
(Simplify yơr answer, including any radicals. Use integers or fractions for any numbers in the expression.)
B. The function is undefined.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(\boxed{0}\)

Steps

Step 1 :Given that \(\sin \theta = 1\), we know that \(\theta\) is equal to \(\frac{\pi}{2}\) or \(90^{\circ}\) in the unit circle.

Step 2 :The cosine of \(\frac{\pi}{2}\) is 0.

Step 3 :Therefore, \(\cos \theta = 0\).

Step 4 :Final Answer: \(\boxed{0}\)

link_gpt