Factor;then Use Fundamental Identities to Simplify the Expression Below and Determine

question 16

Multiple Choice

Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. $\sin ^ { 3 } x - \sin ^ { 2 } x - \sin x + 1$ ​

• A)​ \(\frac { 1 + \cos ^ { 2 } x } { \sin }\)
• B)​ \(\cos ^ { 2 } x ( 1 - \sin x )\)
• C)​ \(\frac { \cos ^ { 4 } x } { 1 + \sin x }\)
• D)​ \(\cos ^ { 2 } x - \cos ^ { 2 } x \sin x\)
• E)​ \(\frac { 1 - \sin x } { \sec ^ { 2 } x }\)

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Definitions:

Balance Surplus

A situation in which income or receipts exceed expenditures or outlays, often referring to a country's trade or fiscal balance.

Balance Deficit

A situation in financial accounts, particularly in national accounts, where total outflows exceed total inflows.

Capital and Financial Account

A component of a nation's balance of payments that covers the transfer of capital and financial assets across international borders.

Balance Surplus

An economic situation where the income or supply exceeds the expenditure or demand, leading to a surplus.