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

4) The capacity of a bathtub is 297 liters. The capacity of a sink is 9 liters, How many sinks of water will fill the bathtub? A 2,673 B 30 33 5) There are 354
help meeeeeeeeee pleasee
write a 4 to 5 sentence paragraph that describes the sliding filament theory of muscle contraction. Be sure to include the terms actin, myosin and sarcomere in
Express your answer as a polynomial in standard form.9f(x) = x2 - 4x –g(x) = -3x – 5Find: f(g(x))
2.The distance needed to stop a car after applying the brakes varies directly with the square of the car's speed. Thetable below shows stopping distances for va
( 14 + 2 ) 2 0 = 5 + 4 0 what type of property is this?
I solved part A of the problem I just need help solving part B
Sample proportions of size ten were taken from a group of students. Students were asked if they wore glasses while watching TV. The proportion that wore glasses
Recommendations NC Standards Algebra 1 5.4 Find the slope from two points Mua Find the slope of the line that passes through (5, 5) and (10, 2).
please help ASAP!!!!!