## Sunday, 23 November 2014

### Creating the Trigonometric Equalities Between Different Angles

This post shows the relationship between theta, pi - theta, pi + theta, 2pi - theta, pi/2 - theta,
pi/2 + theta, 3pi/2 - theta, 3pi/2 + theta.

The first example explores the equivalent trigonometric ratios between theta and pi - theta.

The second example explores the relationship of the trigonometric Relationship between theta and
pi + theta﻿
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The next example explores the equivalent trigonometric ratios between theta and 2pi - theta.

The next example explores the equivalent trigonometric ratios between pi - theta and pi + theta.
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The next example explores the equivalent trigonometric ratios between pi + theta and 2pi - theta.﻿

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The next example explores the equivalent trigonometric ratios between pi - theta and 2pi - theta.

The next example explores the equivalent trigonometric ratios between theta and pi/2 + theta.

The next example explores the equivalent trigonometric ratios between theta and pi/2 - theta.

The next example explores the equivalent trigonometric ratios between theta and 3pi/2 - theta.

The next example explores the equivalent trigonometric ratios between pi + theta and 3pi/2 + theta.

The next example explores the equivalent trigonometric ratios between pi/2 - theta and pi + theta.

We should be able to take any two of theta, pi - theta, pi + theta, 2pi - theta, pi/2 - theta,
pi/2 + theta, 3pi/2 - theta, 3pi/2 + theta and write six equivalent trigonometric equations relating the two angles we choose.﻿
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