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

y = –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)
The sum of 3 and a number is added to 24? algebra
in an appropriate environment, guppies reproduce arian astounding rate. A population of breeding guppies quadruples every month. how many guppies will there be
On a pay stub, what is the difference between "Net Pay" and YTD Net Pay"?
How did Germany increase its power in the late 1800's A) it became an industrial giant B) it allied with the catholic church C) it built a navy to complete with
1: Which of the following equations could you solve by first adding six and then dividing by negative three? 3x - 6 = -9 6 - 3x = -9 -3x - 6 = -9 x/-3 + 6 = -
What is the basic shape of every planet’s orbit?
A plane left on time at noon on Monday. It arrived at its destination at 8:16 PM the same day, which was 16 minutes late. On average, how many seconds did the p
need answers ASAPWhich polygon appears to be regular? Figure A Figure B Figure C Figure D
is clay a solid or a liquid?