cos^2(theta) + sin^2(theta)
=1
1+tan^2(theta)
=sec^2(theta)
cot^2(theta)+1
csc^2(theta)
sin(-theta)
-sin(theta)
cos(-theta)
cos(theta)
Cos(theta+2pi)
Cos(theta)
Sin(theta+2pi)
Sin(theta)
Sin(x+y)
Sinxcosy + cosxsiny
Cos(x+y)
Cosxcosy-sinxsiny
Switch the sign
tan(x+y)
sin(x+y)/cos(x+y)=
Tanx + tany)/(1+tanxtany
Sin(2x)
Sin(x+x)=
(sinxcosx+cosxsinx)
=2sinxcosx
Cos(2x)
Cos(x+x)=
cosxcosx-sinxsinx
cos^2x-sin^2x
Cos^2x+sin^2x=1
Cos(x+x)=
(1-sin^2x)-(sin^2x)
=1-2sin^2x
Cos(2x)=
cos^2x-(1-cos^2x)
=2cos^2x-1
Cos(2x)=2cos^2x-1
(1+cos(2x))/2
Cos(2x)=1-2sin^2x
Sin^2x = (1-sin^2x)/2
Sinxcosy
(1/2)(sin(x+y)+sin(x-y))
Cosxcosy
(1/2)(cos(x+y)+cos(x-y))
Sinxsiny
(1/2)(cos(x-y)-cos(x+y))