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More Lessons for Trigonometry

Math Worksheets

The following diagram shows how the unit circle is related to sin, cos and tan. Scroll down the page for more examples and solutions on the unit circle, sine, cosine, and tangent.

In some other lessons, we have covered the three common trigonometry functions sine, cosine and tangent using the basic SOH-CAH-TOA definition.### Sine Function

### Cosine Function

### Tangent Function

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Trigonometry

Math Worksheets

The following diagram shows how the unit circle is related to sin, cos and tan. Scroll down the page for more examples and solutions on the unit circle, sine, cosine, and tangent.

In some other lessons, we have covered the three common trigonometry functions sine, cosine and tangent using the basic SOH-CAH-TOA definition.

In this lesson, we will extend the definition of the trigonometry functions by using the unit circle.

A **unit circle** is a circle of radius one unit with its center at the origin.

As illustrated in the following diagram:

For a point (*x*, *y*) on the unit circle; sin θ = ⇒ sin θ =* y *

As illustrated in the following diagram:

For a point (*x*, *y*) on the unit circle; cos θ = ⇒ cos θ =* x*

As illustrated in the following diagram:

For a point (*x*, *y*) on the unit circle; tan θ =

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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