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# The reciprocal trig functions homework answers

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From: Bobbery R.
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How to simplify a trigonometric expression by converting to sines and cosines and using algebra. How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities. How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions. All 16 Precalculus 12 Trigonometry 1 Algebra 2 1 Chemistry.

## Reciprocal Function

Trigonometric identities are relationships between trigonometric ratios that define them in terms of one another. They can be used to help solve problems that involve trigonometric functions. The reciprocal function to the sine is the cosecant, to the cosine is the secant, and to the tangent is the cotangent. The reciprocal identities are helpful because all trigonometric ratios in a problem can be rewritten in terms of sines and cosines, which are often much easier to use.

### Reciprocal trig ratios

We've covered sine, cosine, and tangent. We're experts on one little piece of trigonometric real estate. Marvin Gardens? Park Place?
The three basic trigonometric functions occur so often as the denominator of a fraction that it is convenient to give names to their reciprocals. We define three new trigonometric functions as follows. We can find exact values for all six trig functions at a given angle if we know the value of any one of them.

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