TarV5ickschos
TarV5ickschos TarV5ickschos
  • 04-08-2016
  • Mathematics
contestada

Solve the equation . cos2x−cosx=0. on the interval [0,2π)

Respuesta :

meerkat18
meerkat18 meerkat18
  • 08-08-2016
cos 2x = 2cos^2(x) − 1
2cos^2 (x) − 1 − cos(x) ≡ 2cos^2(x) − cos(x) − 1
Let cos(x) = y
2y^2 − y − 1 
(2y + 1) (y − 1) y = −1/2 
y = 1
y = cos(x)
∴ cos(x) = −1/2 ; cos(x) = 1
x = 2/3 π ; x = 0
solutions;x = 2/3 π, x = 0, x = 4/3 π, x = 2π
Answer Link

Otras preguntas

A line with an underfined slope contains the point (8,3). The point (?, -4) is also on the line. What is the missing x-coordinate?
2. You must use headlights when driving ___________________. A. between sunset and sunrise B. in rain C. half hour after sunset and half hour before sunrise D.
Cell respiration why does a runner breathe hard after finishing a race
Which of the following is true about a writer’s diction? a.When the writer uses sophisticated vocabulary, the diction is informal. b.When the writer uses comple
For the right triangle with side of lengths 5 12 and 13, find the length of the radius of the inscribed circle
what is r in this equation? πr^2=42π
I just need help with the equation part since when I keep doing I get the wrong answer.
PLEASE HELP ASAPPPPPP An advertiser rents a rectangular billboard that is 44 ft wide and 20 ft tall. The rent is $15 per square foot. For a billboard twice as t
Cuanto es (2x+2y=20) (-2x-6y=-52) con método de igualación y método de suma y resta
What do the tympanic membranes do for the frog?