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Dominik [7]
2 years ago
6

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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