Chuyen De Bat Dang Thuc Luong Giac (bia)

  • April 2020
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Trường THPT chuyên Lý Tự Trọng – Cần Thơ Bất ñẳng thức lượng giác Lê Tuấn Tú – olympia41124

a1 + a 2 + ... + a n n ≥ a1a 2 ...a n n

C

O1

(a1b1 + a 2 b2 + ... + a n bn )2 ≤ (a12 + a 2 2 + ... + a n 2 )(b1 2 + b2 2 + ... + bn 2 )

O2 M

cos A + cos B + cos C ≤

3 2

x+

A

y+ z≤

P Q

ha B

a2 + b2 + c2 2R

cos A cos B cos C x 2 + y 2 + z 2 + + ≤ x y z 2 xyz

y

z

O

M x

C

N 3

The Inequalities Trigonometry

  a2 + b2 + c2 a 2b 2 c 2   ≤ A B C  cot A + cot B + cot C  tan tan tan 2 2 2

N

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