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

question 155

Essay

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

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Definitions:

Common Law

The body of law developed from judicial decisions of courts and similar tribunals, serving as precedent for future cases.

Contributory Negligence

A legal defense where the plaintiff's own negligence played a role in causing their damages or injury, potentially reducing the liability of the defendant.

Exercise Reasonable Care

The requirement to act with the degree of caution and concern for the safety of oneself and others that a reasonably prudent person would under the same circumstances.

No-fault Personal Liability

A legal principle where individuals receive compensation for injuries regardless of who is at fault.