mac3950 mac3950
  • 02-04-2017
  • Mathematics
contestada

Solve the equation on the interval [0, 2pi)

2 cos^2 (theta/2) - 3 cos theta = 0

Respuesta :

ghanami
ghanami ghanami
  • 06-04-2017
hello : 
by idetity : 1+cos(2a) = 2cos²(a)
let : a = θ/2
1+cos(2×
θ/2)=2cos²(θ/2)
1+cos(θ) = 2cos²(θ/2)
solve :  2 cos^2 (θ/2) - 3 cos(θ) = 0   ......(1)
(1) : 1+cos(θ)-3 cos(θ) =0
2cos(θ)  = 1 

cos(θ) = 1/2
in : [0, 2π[ 
( θ = π/3) or (θ = 5π/3)
Answer Link

Otras preguntas

Give an example of an open equation
rewrite with a single exponent (9^7)^3
x/21 = 3/63 solve the proportion
58 people answered a survey saying they like cheese. There was a total of 74 people surveyed. What is the percentage of people who liked cheese? Round to the ne
Drawings done with ink thinned with water and executed with a brush are referred to as
Find the distance between a and b. a =  14/5 ,   b =  112/65
Animals in the same phylum arthropoda must also be in which same taxon
Jonah is arranging books on a shelf. The order of the books matters to him. There are 336 ways he can arrange the books. Choose True or False for each statemen
1. Some wooden rulers do not start with 0 at the edge, but have it set on a few millimeters. How could this improve the accuracy of the ruler? 2. You find a mic
If one of the satellites is at a distance of 20,000 km from you, what percent accuracy in the distance is required if we desire a 2-meter uncertainty