OML Search

Sine, Cosine and Tangent Functions




 
Related Topics:
More Lessons for Trigonometry, Math Worksheets

What are the Trigonometric Functions?

The three common trigonometry functions are sine, cosine and tangent.

You may use want to use some mnemonics to help you remember the trigonometric functions. One common mnemonic is to remember the SOH-CAH-TOA.

Sine Function

The sine of an angle is the ratio of the opposite side to the hypotenuse side.

Sine is usually abbreviated as sin. Sine θ can be written as sin θ .

Example:

Calculate the value of sin θ in the following triangle.


Solution:

Cosine Function

The cosine of an angle is the ratio of the adjacent side and hypotenuse side.

Cosine is usually abbreviated as cos. Cosine θ can be written as cos θ .

Example:

Calculate the value of cos θ in the following triangle.


Solution:




Tangent Function

The tangent of an angle is the ratio of the opposite side and adjacent side.

Tangent is usually abbreviated as tan. Tangent θ can be written as tan θ .

Example:

Calculate the value of tan θ in the following triangle.


Solution:



The following video gives a good review of the sine, cosine and tangent functions:



 

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.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines