Prove the Identity $$\frac { \cos t } { 1 + \sin t } + \frac { 1 + \sin t } { \cos t } = 2 \sec t$$

question 212

Essay

Prove the identity.
- $$\frac { \cos t } { 1 + \sin t } + \frac { 1 + \sin t } { \cos t } = 2 \sec t$$

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Definitions:

Judgment

The capacity to reach thoughtful decisions or arrive at logical conclusions.

Autonomy

The right or condition of self-government, in personal decision-making, implying the capacity to make an informed, uncoerced decision.

Utilitarianism

A theory in ethics that prescribes actions that maximize happiness and well-being for the majority of a population.

Responsibility

The duty or obligation to perform or complete a task, often with the implication of accountability for the outcome.