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

question 223

Multiple Choice

Suppose ABC is a right triangle with sides of length a, b, and c and right angle at C. Find the exact value of the indicated
trigonometric function. You may need to use the Pythagorean theorem to find the unknown side length. Rationalize the
denominator if necessary.
-Find $\sec B$ when $a = 5$ and $b = 9$ .

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

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Definitions:

Equilibrium Price

The price at which the quantity of a product offered for sale matches the quantity that buyers are willing to buy, leading to a stable market condition.

Price Floor

A government- or group-imposed limit on how low a price can be charged for a product, above the equilibrium price, leading to surpluses.

Surplus

A situation where the quantity supplied exceeds the quantity demanded at the current price; often refers to excess in budget or resources.

Equilibrium Quantity

The quantity of goods or services supplied equals the quantity demanded at the market equilibrium price.