blueyes563 blueyes563
  • 22-07-2021
  • Mathematics
contestada

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

Tìm giá trị lớn nhất giá trị nhỏ nhất Cosxπ3 cosxπ3 class=

Respuesta :

nguyentuan15630 nguyentuan15630
  • 22-07-2021

Answer:

GTLN : 1  GTNN: -1

Step-by-step explanation:

Ta có:

[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]

mà [tex]-1\leq cosx \leq 1[/tex]

Nên Max [tex]y=1[/tex]  , [tex]x[/tex] ∈ [tex]R[/tex]

       Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]

Answer Link

Otras preguntas

Write an expression to represent the area of this figure.. its a circle with the diameter of 2x+4
turning on a tv is an example of _______ energy being transformed into_________ energy and________energy
Do prokaryote And eukaryotes and viruses have liquid cytoplasm
The governmental body responsible for interpreting the Constitution is the A. Supreme Court. B. president. C. Senate. D. House of Representatives.
John stretched while his muscles were cold. Which negative effect could occur? a.Blood might not flow to his limbs. b.His strength could decrease quickly. c.He
What type of energy does a soccer player transfer to the ball?
Why did the united states establish the open door policy?
X+2y=7 3x-2y=-3 solving systems by substitution
what is 2.93 as a mixed number in simplest form
What do you get when you use your calculator to divide 84 by 14? What does this tell you about 14 and 84?