Suppose ABC Is a Right Triangle with Sides of Lengths $\csc \mathrm { B }$

question 76

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 $\csc \mathrm { B }$ when $\mathrm { a } = 6$ and $\mathrm { b } = 7$

• A) \(\frac { \sqrt { 85 } } { 7 }\)
• B) \(\frac { 7 \sqrt { 85 } } { 85 }\)
• C) \(\frac { \sqrt { 85 } } { 6 }\)
• D) \(\frac { 6 \sqrt { 85 } } { 85 }\)

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Definitions:

Face Value

The nominal value printed on a financial instrument like a bond or a stock certificate, representing its legal value.

Present Value

The current worth of a future sum of money or stream of cash flows given a specified rate of return, used in discounting and investment appraisal.

Fair Value

Fair value refers to the estimated market value of an asset or liability, based on current market conditions and comparable transactions, used in financial reporting.

Capital Lease

A lease considered to have the economic characteristics of asset ownership for accounting purposes.