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If sin⁻¹(x/5) + cosec⁻¹(5/4) = pi/2, find a value of x.

1. 1
2. 3
3. 4
4. 5

Correct answer: 3

Solution

Rewrite the cosecant inverse as a sine inverse, then use the complementary relation to convert the equation into an equality of arcsines.

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