Verify the Identity Shown Below $$\sec ^ { 2 } \left( \frac { \pi } { 2 } - y \right) - 1 = \cot ^ { 2 } y$$

question 13

Essay

Verify the identity shown below. $$\sec ^ { 2 } \left( \frac { \pi } { 2 } - y \right) - 1 = \cot ^ { 2 } y$$

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Definitions:

Regular Payments

Periodic payments made consistently over time, such as monthly mortgage or loan repayments, or dividend payouts to shareholders.

Capitalized

Expenses or costs that are added to the value of an asset and expensed over time through depreciation or amortization, rather than immediately.

Perpetuity

An annuity that pays a fixed amount of money for an infinite amount of time.

Amortized

The process of gradually paying off a debt over time in regular installments of interest and principal sufficient to repay the loan fully by its maturity date.