Tabla De Identidades Trigonometricas

Tabla de identidades trigonometricas

sen2x + cos2x = 1
1 + tan2x = sec2x
1 + cot2x = csc2x
tan x = sen x/ cos x
csc x = 1 / sen x
sec x = 1 / cos x
cot x = 1/ tan x = cosx/senx
1 + cotg²a = cosec²a
sin (a + b) =sina · cosb + cosa· sinb
cos (a + b) = cosa · cosb - sina· sinb
sin (a - b) = sina · cosb - cosa· sinb
cos(a - b) = cosa · cosb + sina· sinb
sin2a = 2sina · cosa
cos2a = cos²a - sin²a tg2a = 2tga / 1-tg²a
sin(a/2) =±a(1-cosa)/(2) cos(a/2) = ±a(1+cosa)/(2)
tg(a/2) = ±a(1-cosa)/(1+cosa)
sinA+sinB =2 · sin(A+B)/2 · cos(A-B)/2sinA-sinB =2 · cos (A+B)/2· sin(A-B)/2
cosA+cosB =2 · cos(A+B)/2 · cos(A-B)/2
cosA-cosB =-2 · sin(A+B)/2 ·sin(A-B)/2
cos a = cat ady / hip => sec a sen a = cat op / hip => cosec a
tan a = cat op / cat ady =>cotg a sen a / cos a

INTEGRALES
1.kdx=kx+c
2.1/x dx= ln x+ c
3.xndx= xn+1/n+1+c
4.exdx=ex+c
5.axdx=ax/lna+c para a>0
6.senx dx=-cos x +c
7.cosx dx= sen x+c
8.sec2x dx=tanx+c
9.csc2xdx=-cotx+c
10.tanx secxdx=secx +c
11.cotx cscx dx=-cscx+c
12.1/?1-x2 dx=arcsenx +c
13.1/1+x2dx=arctanx+c
14.1/IxI?x2-1dx=arcsecx+c