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

Find an angle between 0° and 360° that is coterminal with ?284° .
According to this stanza, “this page” _____. is a figurative space where he will explore the question of identity is part of an assignment he hates is a figura
I need help, can you please
True or false? In O,radius OP intersects chord AC in point B so that AB =5 units and BC=5 units.This means that OP is perpendicular to AC
The type and age of rocks found in this mountain range are also found on another continent. What might this mean?
How did World War I assist the women's suffrage movement in the United States?
Which sentences are correctly punctuated? Check all that apply. Spencer needs to call: her grandmother, her best friend, and her aunt. I tried several new foods
What are two properties of diamonds that make them different from other forms of carbon?
Assume that two variables, varA and varB, are assigned values, either numbers or strings. Write a piece of Python code that prints out one of the following mess
Olliva class collected 3'591 bottle caps in 57 days on average how many bottle caps did the class collect per day