Use Trigonometric Identities to Transform the Left Side of the Equation

question 29

Essay

Use trigonometric identities to transform the left side of the equation into the right side. Assume all angles are positive acute angles, and show all of your work.
$$( \csc x - \cot x ) ( \csc x + \cot x ) = 1$$

---

Definitions:

Social Loafing

Occurs when people work less hard in groups than they would individually.

Role Overload

A situation where an individual is expected to fulfill too many roles or tasks, causing stress and potential burnout.

Disruptive Behaviors

Actions that significantly interrupt the normal flow of activities, operations, or processes, often leading to negative consequences.

Inter-team Competition

A scenario where groups or teams within an organization compete against one another to achieve objectives or rewards.