verified. An A+++ blueprint to success 2025-2026 Edition!
sin(-x) -sinx
cos(-x) cosx
sin^2(x)+cos^2(x) - =1
pythagorean identity
1 + tan^2(x) sec^2(x)
1 + cot^2(x) csc^2(x)
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) = 1-2sin^2(x) = 2cos^2(x) - 1
sin(pi/2 - x) cos(x)
cos(pi/2 - x) sin(x)
sin(x/2) pm sqrt[(1-cos(x))/2]
cos(x/2) pm sqrt[(1+cos(x))/2]
tan(x/2) sin(x)/[1+cos(x)]
Domain: [-
1, 1] Range:
arcsin(x)
[-pi/2, pi/2]
Domain: [-1,1]
Range: [0,pi]
arccos(x)
D: all real
numbers R:
arctan(x)
[-pi/2,pi/2]
Domain: (-infinity,-1] and [1,
infinity) Range: [-pi/2,
arccsc(x)
pi/2] except 0
, Domain: (-infinity,-1] and [1,
infinity) Range: [0,pi]
arcsec(x)
except pi/2
D: all real
numbers R:
arccot(x)
(0,pi)
d(k) - derivative of a constant 0