or

or

taken

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

Don't know
Know
remaining cards
Save
0:01
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

# Trig IDs + d/dx's

side_1side_2
d/dx(tan(x)) sec^2(x)
d/dx(csc(x)) -csc(x)cot(x)
d/dx(sec(x)) sec(x)tan(x)
d/dx(cot(x)) -csc^2(x)
d/dx(arcsin(x)) (1 - x^2)^(-1/2)
d/dx(arccos(x)) -(1 - x^2)^(-1/2)
d/dx(arctan(x)) (1 + x^2)^(-1)
d/dx(arccsc(x)) -(|x| * (x^2 - 1)^(1/2))^(-1)
d/dx(arcsec(x)) -(|x| * (x^2 - 1)^(1/2))^(-1)
d/dx(arccot(x)) -(1 + x^2)^(-1)
sin^2(x) + cos^2(x) = 1
1 + tan^2(x) = sec^2(x)
1 + cot^2(x) = csc^2(x)
sin(pi/2 - x) = ; csc(pi/2 - x) = cos(x) ; sec(x)
cos(pi/2 - x) = ; sec(pi/2 - x) = sin(x) ; csc(x)
tan(pi/2 - x) = ; cot(pi/2 - x) = cot(x) ; tan(x)
sin(-x) = ; csc(-x) = -sin(x) ; -csc(x)
cos(-x) = ; sec(-x) = cos(x) ; sec(x)
tan(-x) = ; cot(-x) = -tan(x) ; -cot(x)
sin(x +- y) = sin(x)cos(y) +- cos(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))
sin(2x) = 2sin(x)cos(x)
cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1 = 1 - 2sin^2(x)
tan(2x) = (2tan(x))/(1 - tan^2(x)))
sin^2(x) = (1 - cos(2x))/2
cos^2(x) = (1 + cos(2x))/2
tan^2(x) = (1 - cos(2x))/(1 + cos(2x))
sin(x) + sin(y) = 2sin((x + y)/2)cos((x - y)/2)
sin(x) - sin(y) = 2cos((x + y)/2)sin((x - y)/2)
cos(x) + cos(y) = 2cos((x + y)/2)cos((x - y)/2)
cos(x) - cos(y) = 2sin((x + y)/2)sin(x - y)/2)
sin(x)sin(y) = (cos(x - y) - cos(x + y))/2
cos(x)cos(y) = (cos(x - y) + cos(x + y))/2
sin(x)cos(y) = (sin(x + y) + sin(x - y))/2
cos(x)sin(y) = (sin(x + y) - sin(x - y))/2
Created by: 1173994066024869