Evaluate the expression.
$\(\cos\]\left\)(\(\sin\)^{-1}1\(\right\))$

• A. $0$
• B. $1$
• C. $-1$
• D. $\(\frac\)12$

Answer: (A)

Verified step by step guidance

1. Recognize that \( \sin^{-1}(1) \) represents the angle whose sine is 1. This angle is \( \frac{\pi}{2} \) radians or 90 degrees.
2. Substitute \( \frac{\pi}{2} \) for \( \sin^{-1}(1) \) in the expression \( \cos(\sin^{-1}(1)) \).
3. Now, evaluate \( \cos(\frac{\pi}{2}) \).
4. Recall that the cosine of \( \frac{\pi}{2} \) is 0, because on the unit circle, the point at \( \frac{\pi}{2} \) is (0, 1).
5. Thus, the expression \( \cos(\sin^{-1}(1)) \) simplifies to 0.