Question

Given sec A = 5/3 and that angle A is in Quadrant I, find the exact value of csc A in simplest radical form using a rational denominator.​

Answer 1

9514 1404 393

Answer:

5/4

Explanation:

The relationship between the sec and csc functions is ...

csc(A) = sec(A)/√(sec²(A) -1)

For the given value of sec(A), this is ...

csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)

csc(A) = 5/4

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