|substitúcia cosx = y => x = acosy|
tg2(acosy) = 1/y2 - 1 /
tg(acosy) =
(1-y2)/y /atgacosy = atg[
(1-y2)/y]
tg2x + 1 = 1/cos2x
|substitúcia cosx = y => x = acosy|
tg2(acosy) = 1/y2 - 1 /
tg(acosy) = (1-y2)/y /atg
acosy = atg[(1-y2)/y]
| x > 0 | asinx | acosx | atgx | acotgx |
| asinx= | - | acos(1-x2)
| atg[x/(1-x2)]
| acotg[(1-x2)/x]
|
| acosx= | asin(1-x2)
| - | atg[(1-x2)/x]
| acotg[x/(1-x2)]
|
| atgx= | asin[x/(1+x2)]
| acos[1/(1+x2)]
| - | acotg(1/x) |
| acotgx= | asin[1/(1+x2)]
| acos[x/(1+x2)]
| atg(1/x) | - |