Trig Identities

Created by etetet103 

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odd IDs

sin(-x)=-sinx, csc(-x)=-cscx, tan(-x)=-tanx, cot(-x)=-cotx

even IDs

cos(-x)=cosx, sec(-x)=secx

Pythagorean IDs

sin²x+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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