Prove the Identity $$\cos \left( x + \left( y - \frac { \pi } { 2 } \right) \right) = \sin ( x + y )$$

question 186

Essay

Prove the identity.
- $$\cos \left( x + \left( y - \frac { \pi } { 2 } \right) \right) = \sin ( x + y )$$

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Definitions:

Nonnormal

Refers to data distributions that do not follow a normal distribution, often characterized by skewness or a lack of symmetry.

Randomly Selected

A process of selection in which each member of a set has an equal probability of being chosen.

Probability P

The likelihood of a specific event occurring, often denoted as a number between 0 and 1.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, indicating how spread out the data points are.