Animations of Trig Function Identities

by Philip Yasskin

Texas A&M University

© Copyright P. Yasskin 2013



Sin and Cos Definition:
\[r=1\]

Turn you head sideways to the right
to see the cos graph.


\[\sin(\theta)=\frac{y}{r}=y\] \[\cos(\theta)=\frac{x}{r}=x\]


Parity Identities:




Turn you head sideways to the right
to see the cos graph.



\[\sin(-\theta)=-\sin(\theta)\] \[\cos(-\theta)=\cos(\theta)\quad\]


Complementary Angle
Identities:




Turn you head sideways to the right
to see the cos graph.



\[\sin(\frac{\pi}{2}-\theta)=\cos(\theta)\] \[\cos(\frac{\pi}{2}-\theta)=\sin(\theta)\]


Supplementary Angle
Identities:




Turn you head sideways to the right
to see the cos graph.



\[\sin(\pi-\theta)=\sin(\theta)\quad\] \[\cos(\pi-\theta)=-\cos(\theta)\]

Last Updated: June 2, 2013, PBY
E-mail to yasskin@math.tamu.edu
© Copyright 2007-13 Philip B. Yasskin