Trig Identities

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Created by:

etetet103  on January 19, 2011

Subjects:

honors precal

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Trig Identities

odd IDs
sin(-x)=-sinx, csc(-x)=-cscx, tan(-x)=-tanx, cot(-x)=-cotx
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odd IDssin(-x)=-sinx, csc(-x)=-cscx, tan(-x)=-tanx, cot(-x)=-cotx
even IDscos(-x)=cosx, sec(-x)=secx
Pythagorean IDssin²x+cos²x=1, tan²x+1=sec²x, 1+cot²x=csc²x
sin(A+B)=sinAcosB+cosAsinB
sin(A-B)=sinAcosB-cosAsinB
cos(A+B)=cosAcosB-sinAsinB
cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=tanA+tanB/1-tanAtanB
tan(A-B)=tanA-tanB/1+tanAtanB
sin2A=2sinAcosA
cos2A=cos²A-sin²A, 2cos²A-1, 1-2sin²A
tan2A=2tanA/1-tan²A
sin(A/2)±√1-cosA/2
cos(A/2)±√1+cosA/2
tan(A/2)±√1-cosA/1+cosA, 1-cosA/sin, sin/1+cosA

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etetet103