1. 퐴 =
푏. ℎ
2
푃 = 푎 + 푏 + 푐
퐴 = 푙 2
푃 = 4. 푙
퐴 =
퐷. 푑
2
푉 = 휋. 푟2. ℎ
푉 =
√2
3
. 푎3
퐿 = 휋. 푑 ˅ 퐿 = 2. 휋. 푟
Coseno
Seno
Escriba aquí la ecuación.Tangente
Cotangente
Secante
Cosecante
|푃1푃2| = √(푥2 − 푥1)2 + (푦2 − 푦1) 2
퐶(표,̅표̅̅푝̅) ∩ 푇 = {푝}
Δ푎푏푐 ˄ ⃗푎⃗⃗⃗푞 푏푖푠푒푐푡푟푖푧 푑푒 푏푎̂푐 ˅ 푐푎̂푏 → 푎 ∈ ⃗푎⃗⃗⃗푞 ˄ 푞 ∈ ⃗푎⃗⃗푞⃗ → ⃗푎⃗⃗⃗푞 ⊂ 푒푛 푏푎̂푐

2. 푎 + 푏 es un numero ℝ 푎. 푏 es un numero ℝ
푎 + 푏 = 푏 + 푎 푎. 푏 = 푏. 푎
(푎 + 푏) + 푐 = 푎 + (푏 + 푐) (푎. 푏). 푐 = 푎. (푏. 푐)
0 + 푎 = 푎 + 0 = 푎 1. 푎 = 푎. 1 = 푎
푎 + (−푎) = (−푎) + 푎 = 0 푎.
1
푎
=
1
푎
. 푎 = 1 ˄ 푎 ≠ 0
푎. (푏 + 푐) = 푎. 푏 + 푎. 푐
(푏 + 푐). 푎 = 푏. 푎 + 푐. 푎
0. 푎 = 푎. = 0
푎. 푏 = 0 → 푎 = 0 ˅ 푏 = 0 ˅ 푎 = 0 ˄ 푏 = 0
푎 − 푏 = 푎 + (−푏)
푎 − 푏 = 푐 ↔ 푐 + 푏 = 푎
푎 − 푏 = 푐 → 푐 + 푏 = 푎 ˄ 푐 + 푏 = 푎 → 푎 − 푏 = 푐
푎 ˄ 푏 푠표푛 푛푢푚푒푟표푠 ℝ → 푎 ÷ 푏 = 푎.
1
푏
˄ 푏 ≠ 0
푎 ÷ 푏 = 푐 ↔ 푐. 푏 = 푎 ˄ 푏 ≠ 0
푏0 = 1 ↔ 푏 ≠ 표
푏1 = 푏푏푚. 푏푛 = 푏푚.푛
푏푚 ÷ 푏푛 = 푏푚−푛
(푏푚)푛 = 푏푚.푛
(푎. 푏)푚 = 푎푚. 푏푚
푎
푏
(
푚
)
=
푎푚
푏푚
푏−푛 =
1
푏푛
푎
푏
(
−1
)
=
푏
푎
√푎 푛 = 푥 ⟺ 푥푛 = 푎
√푎 푛 . √푏 푛 = √푎. 푏 푛

3. √푎 푛
√푏 푛 = √
푎
푏
푛
√ √푎 푚 푛
= √푎 푚.푛
푏
푚
푛 = ( √푏 푛 )
푚
= 푛√푏푚 ˅ 푏
푚
푛 = (푏
푚
= (푏푚)
1
푛)
1
푛
푏−(푚
푛
)
= 푏
−푚
푛 = (푏
−푚
1
푛)
=
1
(푏
푚 =
1
푛)
1
푏
푚
푛
~(~푝) ⟺ 푝
~(푝˄푞) ⟺ (~푝˅~푞)
푝˄(푞˄푟) ⟺ (푝˄푞)˄푟
푝˅(푞˄푟) ⟺ (푝˅푞)˄(푝˅푟)
푝˄푝 ⟺ 푝
푝˄~푝 ⟺ 퐹표
푝˅~푝 ⟺ 푇표
푝 ⟺ 푝˅(푝˄푞)
푝 → 푞 ⟺ ~푝˅푞
푝 ↔ 푞 ⟺ (푝˄푞)˅(~푝˄~푞)
[(푝˅푞)˄푟]˄푞
~{~[(~푝 → 푞)˄푟]˅~푞}
[(푝˅푞)˄(푝 → 푟)˄(푞 → 푠)] → (푟˅푠)
푃(푋) = 푄(푋) .퐶(푋)
푃(푋) = 푄(푋). 퐶(푋) + 푅(푋)
푃(푋) = 푥3 + 2푥2 − 6푥 − 1
푎2 + 2푎. 푏 + 푏2 = (푎 + 푏) 2
푎3 + 3푎2푏 + 3푎푏2 + 푏3 = (푎 + 푏)3

4. 푎2 − 푏2 = (푎 + 푏)(푎 − 푏)
푎푥2푏푥 + 푐 =
−푏 ± √푏2 − 4푎푐
2푎
퐻2 = 퐶1
2 + 퐶2
2 → 퐻 = √퐶1
2 + 퐶2
2
log푏 푎 = 푐 ⟺ 푏푐 = 푎
log푏 1 = 0 , ∀ 푏
log푏 푏 = 1 , ∀ 푏
log푏(푥. 푦) = log푏 푥 + log푏 푦
log푏
(푥
푦
)
= log푏 푥 − log푏 푦
log푏 푎푛 = 푛. log푏 푎
log2 −4 = ∄
log2 0 = ∄
푧 = 푟. (푐표푠∅ + 푖. ∅)
푎 = 푟. cos 휙 ˄ 푏 = 푟. 푠푒푛휙
푧1 = 2 + 3푖 푧2 = −3 + 6푖 푧3 = 4 − 7푖 푧4 =
1
3
−
4
5
푖
7
2
푧5 = (
, −
5
2
) 푧6 = (0, −4) 푧7 = (5, 0) 푧8 = −2푖
푧9 = 2. (cos
3휋
2
+ 푖 . 푠푒푛 3휋
2
) 푧10 = 6. (cos
휋
4
+ 푖. 푠푒푛 휋
4
)