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

question 66

Multiple Choice

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 $a = 3$ and $b = 8$ .

• A) \(\frac { 8 \sqrt { 73 } } { 73 }\)
• B) \(\frac { 3 \sqrt { 73 } } { 8 }\)
• C) \(\frac { \sqrt { 73 } } { 3 }\)
• D) \(\frac { 3 \sqrt { 73 } } { 73 }\)

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Definitions:

Like Terms

Algebraic terms that have the same variable parts and powers.

Collect

Refers to gathering or bringing things together from multiple sources.

Like Terms

Terms in an algebraic expression that have the same variables raised to the same power, which can be combined or simplified.

Operation Indicated

The process of performing the mathematical operation (such as addition, subtraction, multiplication, or division) as specified by the given problem.