Prove $\sin ( \pi - x ) + \cos ( x - x ) = \sin x - \cos x$

question 23

Essay

Prove $\sin ( \pi - x ) + \cos ( x - x ) = \sin x - \cos x$ .

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Definitions:

Real Interest Rate

The inflation-adjusted interest rate, showcasing the actual borrowing cost and the genuine return for lenders or investors.

Shoeleather Costs

The metaphorical cost of time and effort that people spend trying to counteract the effects of inflation, such as holding less cash and making more frequent trips to the bank.

Inflation Rates

The percentage increase in the price level of goods and services in an economy over a period of time, reflecting the rate of inflation.

Real Interest Rate

The rate of interest an investor expects to receive after allowing for inflation, reflecting the true cost of borrowing.