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Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.
In most practical situations the calculations required to do numerical analysis are so lengthy and tedious that they are too expensive to be performed by people nowadays, especially since they generally involve simple arithmetic rather than anything requiring human intelligence.
Quantitative observations involve quantinty or numbers .
Jobs that involve numbers include pharmacists, construction workers, and math teachers. Scientists, and people who reconstruct accidents also have jobs that involve the use of numbers.
Scientific Notation is often used as a short way of writing very large or very small numbers. So for a very large one, distances in space would be an example. Tiny particles in living items might be one for very small values.