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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