Solve each equation for exact solutions.
-4 arcsin x = π

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Start with the given equation: \(-4 \arcsin x = \pi\).

Isolate \(\arcsin x\) by dividing both sides of the equation by \(-4\): \(\arcsin x = \frac{\pi}{-4} = -\frac{\pi}{4}\).

Recall that \(\arcsin x\) is the inverse sine function, which means \(x = \sin(\arcsin x)\), so \(x = \sin\left(-\frac{\pi}{4}\right)\).

Use the property of sine for negative angles: \(\sin(-\theta) = -\sin(\theta)\), so \(x = -\sin\left(\frac{\pi}{4}\right)\).

Evaluate \(\sin\left(\frac{\pi}{4}\right)\) using known exact values, then write the exact value for \(x\).

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