The expression \( \cos(90^\circ - 32^\circ) \) can be simplified using the co-function identity:

\[
\cos(90^\circ - \theta) = \sin(\theta)
\]

Substituting \( \theta = 32^\circ \):

\[
\cos(90^\circ - 32^\circ) = \sin(32^\circ)
\]

So, the answer is \( \sin(32^\circ) \).

Would you like the value of \( \sin(32^\circ) \), more details on trigonometric identities, or have any other questions?

Here are 5 related questions to consider:
1. What is the sine of 32 degrees?
2. How do co-function identities work in trigonometry?
3. What is the relationship between sine and cosine?
4. Can you derive the co-function identities?
5. How do you use trigonometric identities to solve problems?

**Tip:** Memorizing key trigonometric identities can significantly simplify solving many trigonometry problems.

Learn how to solve \( \cos(90 - 32) \) using the co-function identity and understand the relationship between sine and cosine in trigonometry. This problem is suitable for high school students studying trigonometric identities.

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