Identidades trigon...

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)/2
sinA-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.?e^xdx=e^x+c
5.?a^xdx=a^x/ln a+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 secx dx=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