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Verify That the Equation Is an Identity tan(xπ4)=tanx11+tanx\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }

question 231

Essay

Verify that the equation is an identity.
- tan(xπ4)=tanx11+tanx\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }

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Definitions:

Rational Economics

An approach to economics that assumes individuals make decisions based on logical evaluation of available information, aiming for maximum utility.

Learned Behavior

Actions or reactions that an individual acquires through experience or by being taught.

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A British economist whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments.

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An increase in the production of goods and services in an economy over a period of time, usually measured by GDP.

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