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 was hammurabi known for? can someone ples help me ]
If f(x) = 6x - 4, what is f(x) when x = 8?
Why cant the question, "What is art?" ever really be answered?
On a karyotype, which pair(s) of chromosomes are always the sex chromosomes (no matter what the organism is)? A. the 23rd pair B. the last pair C. the first pai
-2x = 10=-14 x 7awner it please​
1. Which of the following is NOT a quadratic equation? &.x²-4=0 c.-7x+12=0 b. -9+x2=0 d. -2+9+x2=0
Austin determined that he has $13.50 in his piggy bank just in quarters and dimes. If q represents the number of quarters he has and d represents the number of
If you witness physical bullying and want to help, what should you consider first?
Use the interactive to make a line that passes through the points (3,2) and (–1,–1). The rise is 1 . The run is . The slope of the line is .
every whole number is an integer