Solve the Equation for Exact Solutions $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

question 50

Multiple Choice

Solve the equation for exact solutions.
- $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

• A) \(\left\{ \frac { 1 } { 2 } \right\}\)
• B) \(\{ - 5 + 3 \sqrt { 2 } \}\)
• C) \(\{ 2 \}\)
• D) \(\left\{ - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right\}\)

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Definitions:

Break Even

A financial situation where total costs equal total revenues, resulting in no net profit or loss.

Break-Even

The point at which total costs and total revenues are equal, resulting in no net loss or gain for the business.

Monthly Unit Sales

The total number of units of a product sold by a company in one month.

Break-even Sales

The amount of revenue required to cover both fixed and variable expenses, resulting in zero profit.