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

Divide 102 dollars among 3 boys. A,B, and C, so that A gets twice as much as B and C gets 1 1/2 times as much as A. How much does each boy get?
The plasma membrane has a double layer of phospholipids with _____ dispersed throughout.
Need help please answer! What are the first six terms of the sequence, n2 (n squared)??
-2 5/22 as a decimal
Best way to study for french 2?
What information does the atomic number of an element provide? A. the number of neutrons in one atom of the element B. the total number of protons and neutrons
subplots often involve ? A . the main series of events B . positive transitions in character relationships C . unimportant details that have no bearing on the
Describe 5 ways to represent a function?
The movie theater has 250 seats 225 seats were sold for the carriage showing what percent of seats are empty?
Population of a city is 36000 in 2005 by 2010 it has grown to 43800. If the city has grown linearly since 2005 and grows at the same rate what will the populati