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

What is the name of the group opposed to the American Revolution?
Elena charged her laptop.after 25 minutes,she unplugs her laptop to complete her homework.after Elena completes her homework ,she changes her laptop until it is
Sara had never planned on being on another planet. Luckily, she had a...
What is the best account for long term savings?
what is the reason for the three levels of government state, county, and municipal ??
How did the United Kingdom change after World War I?
What is Du Bois's main critique of Washington's approach to civil rights and education?
Directions: In your own words, describe the main beliefs of each philosopher and who or what they influenced. Hobbes’ Beliefs: Influence:
SPANISH WORK HELP! only the bottom part (para y piense) GIVING BRAINLIEST
Is rotation congruent or similar?