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Solve for x: sin(sin⁻¹(1/5) + cos⁻¹ x) = 1.

1. x = 1/5
2. x = 1/2
3. x = 1/sqrt(5)
4. x = sqrt(24)/5

Correct answer: x = 1/5

Solution

Setting the inner angle to pi/2 and using the identity sin⁻¹ t + cos⁻¹ t = pi/2 forces x = 1/5.

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