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.