Establish the Identity $$\frac { \tan t } { 1 - \cot t } + \frac { 1 + \cot t } { \tan t } = \frac { \tan ^ { 2 } t + 2 - \csc ^ { 2 } t } { \tan t - 1 }$$

question 227

Essay

Establish the identity.
- $$\frac { \tan t } { 1 - \cot t } + \frac { 1 + \cot t } { \tan t } = \frac { \tan ^ { 2 } t + 2 - \csc ^ { 2 } t } { \tan t - 1 }$$

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Definitions:

Internal Rate

Typically refers to the internal rate of return (IRR), which is a financial metric used to estimate the profitability of potential investments.

Payback Period

The amount of time it takes for an investment to generate cash flows sufficient to recover its initial cost, commonly used to assess the feasibility of projects.

Operating Assets

Cash, accounts receivable, inventory, plant and equipment, and all other assets held for operating purposes.

Discount Rate

The interest rate used in discounted cash flow analysis to present future cash flows in terms of their present value, important in investment and financial decision-making.