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TRIGONOMETRÍA<br />
2. La función inversa anula a su función directa<br />
Arc Sen (Sen x) = x<br />
Arc Cos (Cos x) = x<br />
Arc Tg (Tg x) = x<br />
4π 4π<br />
Ejm: Arc Cos (Cos ) = 5 5<br />
4π π π<br />
Arc Sen (Sen ) = Arc Sen (Sen ) = 5<br />
5 5<br />
3. Expresiones equivalentes<br />
Si:<br />
Sen α = n Csc α = 1/n<br />
α = arc sen (n) α = arc Csc<br />
⎛ 1 ⎞<br />
⎜ ⎟<br />
⎝ n ⎠<br />
arc Sen (n) = Arc Csc<br />
Arc Cos (n) = arc Sec<br />
Arc Tg (n) = arc Ctg<br />
⎛ 1 ⎞<br />
⎜ ⎟<br />
⎝ n ⎠<br />
⎛ 1 ⎞<br />
⎜ ⎟<br />
⎝ n ⎠<br />
⎛ 1 ⎞<br />
⎜ ⎟<br />
⎝ n ⎠<br />
; n > 0<br />
Arc Tg (n) = arc Ctg<br />
⎛ 1 ⎞<br />
⎜ ⎟<br />
⎝ n ⎠<br />
- π ; n > 0<br />
4. Fórmula Inversa<br />
Arc tgx + Arc y = arc tg<br />
⎛ x + y ⎞<br />
⎜<br />
⎟<br />
⎝1−<br />
xy ⎠<br />
+ n π<br />
i) xy 1<br />
n = 0 x > 0 x < 0<br />
n = 1 n = -1<br />
Ejemplo:<br />
E = Arc tg (2) + Arc tg (3) xy > 1<br />
X > 0<br />
n = 1<br />
CUESTIONARIO DESARROLLADO
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