Answer:

Explanation:
To find the exact value of csc A in simplest radical form using a rational denominator, we can use the reciprocal identities of secant and cosecant:

Given sec A = √(41)/4, we can use the definition of secant as the reciprocal of cosine to find the value of cos A:

Since angle A is in Quadrant I, both sin A and cos A are positive.
Now we can substitute the value of cos A into the trigonometric identity to find sin A:







Finally, we can substitute the value of sin A into the reciprocal identity to find csc A:

Therefore, the exact value of csc A in simplest radical form with a rational denominator is:
