SOLUTION: Find all values of θ in the interval of [0°,360°) that satisfy the equation 2sin^2(θ/2)=cosθ.

Algebra.Com
Question 760338: Find all values of θ in the interval of [0°,360°) that satisfy the equation 2sin^2(θ/2)=cosθ.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find all values of θ in the interval of [0°,360°) that satisfy the equation 2sin^2(θ/2)=cosθ.
***



1-cos(x)=cos(x)
2cos(x)=1
cos(x)=1/2
x=60º, 300º (in Q1 and Q4 where cos>0)

RELATED QUESTIONS

Find all values of θ, to the nearest degree, that satisfy the equation 7cos... (answered by lwsshak3)
Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the... (answered by stanbon,robertb)
Find all values of θ in the interval 0 ≤ θ≤ 360•that satisfy the... (answered by lwsshak3)
find all real values of θ in the interval [0°,360°) that satisfy the equation... (answered by lwsshak3)
Find all values of θ; in the interval ​[0°​,360°​) that have the... (answered by Alan3354)
Find all angles θ, where 0° ≤ θ < 360°, that satisfy the given condition. (answered by lwsshak3)
Find two values of θ, 0 ≤ θ < 2π, that satisfy the given... (answered by lwsshak3)
Find two values of θ, 0 ≤ θ < 2π, that satisfy the given... (answered by tommyt3rd)
Find two values of θ, 0 ≤ θ < 2π, that satisfy the given... (answered by stanbon)