Studied by 48 peoplecsc(x)
=1/sin(x)
sec(x)
=1/cos(x)
cot(x)
=1/tan(x)
tan(x)
=sin(x)/cos(x)
cot(x)
=cos(x)/sin(x)
sin^2(x)+cos^2(x)
=1
tan²(x)+1
=sec²(x)
1+cot^2(x)
=csc^2(x)
sin(-x)
=-sin(x)
cos(-x)
=cos(x)
tan(-x)
=-tan(x)
csc(-x)
=-csc(x)
sec(-x)
=sec(x)
cot(-x)
=-cot(x)
sin((pi/2)-u)
=cos(u)
cos((pi/2)-u)
=sin(u)
tan((pi/2)-u)
=cot(u)
sin(x+y)
=sin(x)cos(y)+cos(x)sin(y)
sin(x-y)
=sin(x)cos(y)-cos(x)sin(y)
cos(x+y)
=cos(x)cos(y)-sin(x)sin(y)
cos(x-y)
=cos(x)cos(y)+sin(x)sin(y)
tan(x+y)
=(tan(x)+tan(y))/(1-tan(x)tan(y))
tan(x-y)
=(tan(x)-tan(y))/(1+tan(x)tan(y))
sin(2x)
=2sin(x)cos(x)
cos(2x)
=cos^2(x)-sin^2(x), 1-sin^2(x), 2cos^2(x)-1
tan(2x)
=(2tan(x))/(1-tan²(x))
sin(u/2)
=sqrt((1-cos(u))/2)
cos(u/2)
=sqrt((1+cos(u))/2)
tan(u/2)
=(1-cos(u))/sin(u)
=sin(u)/1+cos(u)
d/dx(sin(x))
=cos(x)
d/dx(cos(x))
=-sin(x)
d/dx(tan(x))
=sec²(x)
d/dx(csc(x))
=-csc(x)cot(x)
d/dx(sec(x))
=sec(x)tan(x)
d/dx(cot(x))
=-csc²(x)
Note
Flashcard