Verify the Identity Shown Below $$\left( 1 + \cot ^ { 2 } \theta \right) \tan ^ { 2 } \theta = \sec ^ { 2 } \theta$$

question 16

Essay

Verify the identity shown below. $$\left( 1 + \cot ^ { 2 } \theta \right) \tan ^ { 2 } \theta = \sec ^ { 2 } \theta$$

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Definitions:

Compounded Monthly

The process of calculating interest on both the initial principal and the accumulated interest from previous periods on a monthly basis.

Amortized

Refers to the process of gradually reducing debt through regular payments that cover both interest and principal over a set period.

Compounded Monthly

This process involves the reinvestment of interest, so each month's interest earning is based on the principal plus the previously earned interest.

Amortized

The gradual reduction of a loan or debt by regular payments of both interest and principal.