Suppose ABC Is a Right Triangle with Sides of Lengths $\sec B$

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length
using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle.
Rationalize the denominator if applicable.
-Find $\sec B$ when $a = 9$ and $b = 5$ .

A) $\frac { 9 \sqrt { 106 } } { 106 }$
B) $\frac { \sqrt { 106 } } { 9 }$
C) $\frac { 9 \sqrt { 106 } } { 5 }$
D) $\frac { 5 \sqrt { 106 } } { 106 }$

Correct Answer:

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