briscosarg19
briscosarg19 briscosarg19
  • 13-02-2018
  • Mathematics
contestada

Solve the equation on the interval [0,2pi)

2cos² θ/2 -3cosθ=0

Respuesta :

tynollette tynollette
  • 13-02-2018
to solve this problem, you first have to know the half angle identify of cosine.
cos(θ/2)=+/-√(1+cosθ)/2, so  cos² (θ/2)=(1+cosθ)/2, and 2cos² (θ/2)=1+cosθ

2cos² (θ/2) -3cosθ=0
1+cos
θ-3cosθ=0
2cosθ=1
cosθ=1/2
θ=π/3, or (5/3)π

Answer Link

Otras preguntas

Translate the word phrase into a variable expression. The quotient of a number and 3 is decreased by 1.
Which sign makes the statement true?8.9   8 68100
In which type of chemical reaction are electrons transferred?1) organic addition2) oxidation-reduction3) double replacement4) acid-base neutralization
discriminant of 9x^2+12x+4=0
discriminant of 9x^2+12x+4=0
Find two consecutive number which add up to 89. What are the steps.
Which choice below would affect the rate of reaction in the opposite way from the other four? a. Cool the reaction down b. Add a catalyst c. Decrease the pre
Imagine that you are baking brownies for a bake sale at school. Which of the following pans is least likely to cause you to burn the bottoms of your brownies?a
help me with this? cause I dont really understand this.
The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. Let w represent th