1. (𝑥 +
𝑛
𝑎)𝑛
(𝑛𝑘)𝑥 𝑘 𝑎 𝑛−𝑘
=∑
𝑘=0
2. 𝑥 =
−𝑏±√𝑏 2 −4𝑎𝑐
2𝑎
3. 𝐴 = 𝜋𝑟 2
4. (1 + 𝑥)𝑛 = 1 +
5. 𝑒 𝑥 = 1 +
𝑥
1!
+
𝑛𝑥
𝑥2
2!
1!
+
+
𝑥3
3!
𝑛(𝑛−1)𝑥 2
2!
+ ⋯ , −∞ < 𝑥 < ∞
∞
6. 𝑓(𝑥) = 𝑎0 + ∑
𝑛=1
+⋯
(𝑎𝑛 cos
𝑛𝜋𝑥
𝐿
+ 𝑏𝑛 sin
𝑛𝜋𝑥
𝐿
)
7. 𝑎 2 + 𝑏2 = 𝑐 2
1
1
2
2
8. sin 𝛼 ± sin 𝛽 = 2 sin (𝛼 ± 𝛽) cos (𝛼 ∓ 𝛽)
1
1
2
2
9. cos 𝛼 + cos 𝛽 = 2 cos (𝛼 + 𝛽) cos (𝛼 − 𝛽)