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


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.







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


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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