Trigonometry. Functions and units

Do you want to broaden and deepen your knowledge of trigonometry?

The online trigonometry simulations on this page will help you better understand the basics of trigonometry and its most important functions.

Trigonometry is a branch of mathematics that focuses on the study of the relationships between the angles and sides of triangles. In particular, we study trigonometric functions, which are mathematical functions that relate the angles of a triangle to the lengths of its sides.

The most common trigonometric functions are sine, cosine and tangent. These functions are defined in terms of an acute angle within a right triangle. The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse, the cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse, and the tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side.

Trigonometry is also used to solve problems in other areas of mathematics, such as calculus and analytic geometry, as well as in fields such as physics, engineering and navigation.

Below are several simulations and other educational resources, which can also serve as very illustrative examples. In addition, a selection of books and courses is included to help you broaden your knowledge of this subject.

Variation
Ferris
Radians
Functions
Tour

Trigonometry. Angle variation

This animation provides a representation of the variation of the sine, cosine and tangent as the angle changes.

When you are ready to start, click the "Resume" button.

Trigonometry on the Ferris wheel

This animation provides a representation of the sine function. Notice how the height of the red cab is determined by the sine function.

When you are ready to start click the "Go" button.

Trigonometry Units. Radians

This simulation allows to check how different angles are measured in radians.

Click here to start the simulation

Trigonometry functions. Sine and cosine

With this simulation you can see how the sine and cosine functions are generated with the rotation of a segment.

Click here to start the simulation

Trigonometric Tour

This simulation will take you through a tour of trigonometry using trigonometry using degrees or radians! Look for patterns in the values and in the graph when the value of theta is changed. Compare the graphs of sine, cosine, and tangent..