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

| |x-4|-2|<3 I need help with this absolute value
Which of the following would prevent percolation and reduce the recharge of water in aquifers? O A. Planting of forests O B. Irrigation of crops O C. Building o
Why force is directly proportional to mass product of the two object?
how to do this question plz ​
What is the smallest number of squares into which you can divide a rectangle with dimensions 6×7?
On Earth a package weighs 19.6 newtons. What is the mass of this package on Earth?
2. Ben had a real (dilemma) He had to come up with a funny story to tell the class, and he had to do it fast! a. Problem b. Situation c. Homework assignment d.
Plz answer me will mark as brainliest ​
What is the minimum value of the resultant if we combine a 6 Newton force and a 3 Newton force? Lmk asap
True or false. ciliary muscles are responsible for accommodation of the eye. ​