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Trigonometric Identities
Six trig functions
18
Mathematics
Undergraduate 1
08/16/2011
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Term
sin2x + cos2x 
 Definition
1
Term
tan2x + 1
 Definition
sec2x
Term
1 + cot2x
 Definition
csc2x
Term
sin 2x
 Definition
2sinx * cosx
Term
cos 2x
 Definition
cos2x - sin2x
Term
cos 2x
 Definition
1 - 2sin2x
Term
cos 2x
 Definition
2cos2x - 1
Term
sin2x
 Definition
(1/2)(1-cos 2x)
Term
cos2x
 Definition
(1/2)(1 + cos 2x)
Term
sin(x±y)
 Definition
sinx*cosy ± cosx*siny
Term
cos(x ± y)
 Definition
cosx*cosy ∓  sinx*siny
Term
tan(x ± y)
 Definition

tanx ± tany

1 ∓ tanx*tany
Term
sin(-x)
 Definition
-sinx
Term
cos(-x)
 Definition
cos(x)
Term
tan(-x)
 Definition
-tan(x)
Term
sin(mx) * sin(nx)
 Definition
(1/2)[cos(m-n)x - cos(m+n)x]
Term
sin(mx)*cos(nx)
 Definition
(1/2)[sin(m+n)x + sin(m-n)x]
Term
cos(mx)*cos(nx)
 Definition
(1/2)[cos(m-n)x + cos(m+n)x]
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