Let cotangent of x is equal to 5 eighths , with 0 is less than x comma x is less than 90 degrees What is sine of x ?

Since cotangent is adjacent side divided by opposite side, use a right triangle with adjacent side 5 and opposite side 8. The hypotenuse is √(5² + 8²) = √89. Sine is opposite side divided by hypotenuse, so sin x = 8/√89, which is choice A.

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