sin ฯ
6=1
2,sin ฯ
4=1
โ2,sin ฯ
3=โ3
2
sin2x+ cos2x= 1,sin(โx) = โsin x, cos(โx) = cos x
sin(x+y) = sin xcos y+ cos xsin y, cos(x+y) = cos xcos yโsin xsin y
2 cos2x= 1 + cos(2x),2 sin2x= 1 โcos(2x)
cosh2xโsinh2x= 1,sinh(โx) = โsinh x, cosh(โx) = cosh x
sinh(x+y) = sinh xcosh y+ cosh xsinh y, cosh(x+y) = cosh xcosh y+ sinh xsinh y
2 cosh2x= 1 + cosh(2x),sinh(2x) = 2 sinh xcosh x
d
dxf(x) = fโฒ(x) = lim
hโ0
f(x+h)โf(x)
h
d
dx tan x= sec2x, d
dx cot x=โcsc2x, d
dx sec x= tan xsec x, d
dx csc x=โcot xcsc x
d
dx arcsin x=1
โ1โx2,d
dx arccos x=โ
1
โ1โx2,d
dx arctan x=1
1 + x2
d
dx tanh x= sech2x, d
dx coth x=โcsch2x, d
dx sech x=โtanh xsech x, d
dx csch x=โcoth xcsch x
d
dx arcsinh x=1
โx2+ 1,d
dx arccosh x=1
โx2
โ1,d
dx arctanh x=1
1โx2
1
