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.
Solution
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: \(\boxed{0}\)
