Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Trigonometric identities

Revision as of 23:53, 23 June 2006 by Mysmartmouth (talk | contribs)

Trigonometric identities are used to manipulate trig equations in certain ways. Here is a list of them:


Reciprocal Identities

Pythagorean Identities

  • $\displaystyle \sin^2x + \cos^2x = 1$
  • $\displaystyle 1 + \cot^2x = \csc^2x$
  • $\displaystyle \tan^2x + 1 = \sec^2x$

Double Angle Identities

Even-Odd Identities

Other Identities

  • $|1-e^{i\theta}|=2\sin\frac{\theta}{2}$

This page is incomplete--if you know of a trigonometric identity, add it.

See also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Trigonometric_identities&oldid=4418"