Use the Pythagorean Identities to Simplify the Expression $$\frac { \sec ^ { 2 } \theta - \tan ^ { 2 } \theta } { 1 + \tan ^ { 2 } \theta }$$

question 23

Multiple Choice

Use the Pythagorean identities to simplify the expression. $$\frac { \sec ^ { 2 } \theta - \tan ^ { 2 } \theta } { 1 + \tan ^ { 2 } \theta }$$

• A) \[\sec ^ { 2 } \theta\]
• B) \[\csc ^ { 2 } \theta\]
• C) \[\cos ^ { 2 } \theta\]
• D) \[\sin ^ { 2 } \theta\]
• E) 1

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Definitions:

Market Equilibrium

A condition in which the quantity of a product demanded by consumers equals the quantity supplied by producers, leading to a stable market price.

Market Equilibrium

The point where the supply of goods matches demand, resulting in a stable price.

Excess Demand

A market situation where the quantity demanded of a good exceeds the quantity supplied at a current price, leading to shortages.

Excess Supply

A situation in a market where the quantity of a good supplied is greater than the quantity demanded at the current price.