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

which was built first palace of montezuma or the presidents palace
How do you write 4 hundreds 13 tens 5 ones in standard form? How do u do this please help me
what should i capitalize in the phrase:The song "Singing in the rain" comes from the movie of the same name starring Gene Kelly, Debbie Reynolds, and Donald O'C
How to do these/ answers to check it
Which of the following is a perfect cube? 4 8 9 12
As part of its policy of "containment" during the Cold War, the United States hoped to keep communist influence in Korea a. south of the Yalu River. Eliminate
What is 2 plus 2? Hghhhgghbbhghnbgghghh
which mythical creature torture torture those who are guilty of suicide?
Some fungi grow in association with plant roots. The fungi absorb water and minerals from the soil and share them with the plant. The plant provides the fungi w
two angles form a straight angle. what is the one angle measures 89°. what is the measure of the other angle?