Use a Grapher to Conjecture Whether the Equation Is Likely $\sin ^{4} x \cos ^{2} x=\cos ^{2} x+\sin ^{4} x-\cos ^{6} x$

question 33

Essay

Use a grapher to conjecture whether the equation is likely to be an identity. If it is not, give a counter example.
$\sin ^{4} x \cos ^{2} x=\cos ^{2} x+\sin ^{4} x-\cos ^{6} x$

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Definitions:

Aggregate Demand Curve

A graphical representation showing the relationship between the total demand for all goods and services in an economy and the overall price level.

Expansionary Gap

A situation where the actual level of output in an economy exceeds the potential output level, usually characterized by high demand and inflationary pressures.

Government Purchases

Expenditures made by the government for goods and services that directly satisfy public consumption or are used in the production of other goods and services.

Stagflation

An economic condition characterized by slow economic growth, high unemployment, and high inflation, occurring simultaneously.