Basic Trigonometric Identities
Basic Trigonometric Identities
Fundamental Identities
cos2 ( + sin2 ( = 1
1 + tan2 ( = sec2 (
1 + cot2 ( = csc2 (
sin ( = − sin(−() csc ( = − csc(−()
cos ( = cos(−() sec ( = sec(−()
tan ( = − tan(−() cot ( = − cot(−()
Addition formulas
sin(( + () = sin ( cos ( + cos ( sin (
sin(( − () = sin ( cos ( − cos ( sin (
cos(( + () = cos ( cos ( − sin ( sin (
cos(( − () = cos ( cos ( + sin ( sin (
Double-angle formulas
sin 2( = 2 sin ( cos (
cos 2( = cos2 ( − sin2 ( = 2 cos2 ( − 1 = 1 − 2sin2 (
Half-angle formulas
sin2 ( = (1 − cos 2( )/2
cos2 ( = (1 + cos 2( )/2
Exponential forms*
[pic] [pic]
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