Verify That Each Equation Is an Identity $$( \sec \alpha + \tan \alpha ) ^ { 2 } = \frac { 1 + \sin \alpha } { 1 - \sin \alpha }$$

question 447

Essay

Verify that each equation is an identity.
- $$( \sec \alpha + \tan \alpha ) ^ { 2 } = \frac { 1 + \sin \alpha } { 1 - \sin \alpha }$$

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Definitions:

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Information

Data that has been processed, organized, or presented in a given context to make it meaningful or useful.

Belief

An acceptance that something exists or is true, especially without proof.

Hindsight Bias

The tendency to believe, after learning an outcome, that one would have foreseen it, often referred to as the "I-knew-it-all-along" phenomenon.