2 years ago

Tìm giá trị lớn nhất giá trị nhỏ nhất Cos(x+π/3)+ cos(x-π/3)

Mathematics

1 answer:

Elina [12.6K]2 years ago

6 0

Answer:

GTLN : 1 GTNN: -1

Step-by-step explanation:

Ta có:

$y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx$

mà $-1\leq cosx \leq 1$

Nên Max $y=1$ , $x$ ∈ $R$

Min $y = -1$ , $x$ ∈ $R$

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