Use a Sum or Difference Identity to Find the Exact $\cot \theta$

question 129

Multiple Choice

Use a sum or difference identity to find the exact value.
-Find $\cot \theta$ if $\tan \theta = \frac { \sqrt { 7 } } { 3 }$ and $\theta$ is in quadrant III.

• A) \(\frac { 3 \sqrt { 7 } } { 7 }\)
• B) \(- \frac { 3 } { 2 }\)
• C) \(\frac { 5 } { 4 }\)
• D) \(- \frac { \sqrt { 7 } } { 9 }\)

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Definitions:

Normal Goods

Goods for which demand goes up when income is higher and for which demand goes down when income is lower.

Wage Rate

The standard amount of pay given to an employee for services rendered, typically expressed on a per hour basis.

Labor Supplied

Labor supplied refers to the total hours that workers are willing and able to work at a given wage rate.

Income Effects

Changes in consumers' purchasing power and consumption patterns resulting from changes in their income.