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Evaluate the following: sin^(-1)(sin 10...

Evaluate the following: `sin^(-1)(sin 10)`

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To evaluate the expression \( \sin^{-1}(\sin 10) \), we need to follow these steps: ### Step 1: Understand the Range of the Inverse Function The function \( \sin^{-1}(x) \) (also known as arcsin) has a range of \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \) or approximately \( [-1.57, 1.57] \) radians. Since \( 10 \) radians is outside this range, we cannot directly apply the inverse sine function. **Hint:** Always check the range of the inverse trigonometric function before applying it. ### Step 2: Convert Radians to Degrees ...
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