Prove the Identity $$\frac { \cos x } { \sec x - 1 } - \frac { \cos x } { \sec x + 1 } = \frac { 2 \cos x } { \tan ^ { 2 } x }$$

question 145

Essay

Prove the identity.
- $$\frac { \cos x } { \sec x - 1 } - \frac { \cos x } { \sec x + 1 } = \frac { 2 \cos x } { \tan ^ { 2 } x }$$

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Definitions:

Duty of Obedience

In the context of corporate governance, it refers to the obligation of directors and officers to act in accordance with the organization's goals, policies, and rules.

Fiduciary Duty

A legal obligation of one party to act in the best interest of another when managing money or property, such as the relationship between a trustee and the beneficiaries.

Tenants in Property

Individuals or entities who hold the right to occupy land or structures rented from a landlord under a lease.

Tenants in Common

Tenants in common refers to a form of co-ownership where each owner has a distinct, undivided interest in the property, which may be unequal in size and may be transferred independently.