Prove the Identity $$\frac { \cot ^ { 2 } x } { \csc x - 1 } = \frac { 1 + \sin x } { \sin x }$$

question 98

Essay

Prove the identity.
- $$\frac { \cot ^ { 2 } x } { \csc x - 1 } = \frac { 1 + \sin x } { \sin x }$$

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Definitions:

Profit Sharing

An incentive program that grants employees a share in the company's profits as part of their compensation.

Expected Profits

The anticipated financial gain from an investment or business activity, calculated by multiplying possible outcomes by their probabilities and summing the results.

Cost Function

Function relating cost of production to level of output and other variables that the firm can control.

Profit Sharing

A company policy or agreement that distributes a portion of its profits among employees, typically based on their performance or salary.