# Exact Values of Trigonometric Functions

Pronunciation: /ɪgˈzækt ˈvæl.juz ʌv ˌtrɪg.əˈnɒm.ɪ.trik ˈfʌŋk.ʃənz/ Explain

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles. These angles are often used on tests where a calculator is not allowed, so it is useful for students to memorize these angles and the values of trigonometric functions of these angles. A mnemonic for remembering these values is at the end of this article.

Exact Values of Trigonometric Functions
Angle
Degrees
Angle
sin(θ)cos(θ)tan(θ)
0 rad   30° rad   45° rad   60° rad   90° rad   180° rad   270° rad   Table 1

### Mnemonic What is this?

A mnemonic for remembering the values of sine for special angles is: Figure 1: Mnemonic for sine of special angles

A mnemonic for the cosine values of special angles is similar: Figure 1: Mnemonic for cosine of special angles

1. McAdams, David E.. All Math Words Dictionary, exact values of trigonometric functions. 2nd Classroom edition 20150108-4799968. pg 74. Life is a Story Problem LLC. January 8, 2015. Buy the book

McAdams, David E. Exact Values of Trigonometric Functions. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/e/exactvaltrig.html.

### Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)