Monday, April 2, 2012

Identities

tan t =

sin t


cos t

cot t =

1


tan t

=

cos t


sin t

sec t =

1


cos t

csc t =

1


sin t

The Pythagorean formula for sines and cosines.

sin2 t + cos2 t = 1

Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions.

sin –t = –sin t

cos –t = cos t

tan –t = –tan t

Sum formulas for sine and cosine

sin (s + t) = sin s cos t + cos s sin t

cos (s + t) = cos s cos t – sin s sin t

Double angle formulas for sine and cosine

sin 2t = 2 sin t cos t

cos 2t = cos2 t – sin2 t = 2 cos2 t – 1 = 1 – 2 sin2 t

Example:

http://www.youtube.com/watch?v=SZu_EVV4jjY

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