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

Can you please solve 10(−8x+7)−9x
All of the following are characteristics of good leaders EXCEPT
what is the answer in ft (no link)
How can a change in demand for a product affect the products price?
In what ways did early modern Asians transform their environments, and why?
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Complete the following sentences using a direct object pronoun and the preterite form of the verb. Follow the model. —¿Compraste la cartera? —No, pero Juan sí _
thermal energy transfer what is your hypothesis (or hypotheses) for this experiment?
ABCD is a parallelogram, find the x only. (A) 10 (B) 15 (C) 20 (D) 35
Help ASAP PLEASE!!!!!