SOLUTION: Find all solutions in the interval {0,2pi)or {0,360 degree). you may us degrees or radians, your choice. 3sec^2(x)tan(x)=4tan(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions in the interval {0,2pi)or {0,360 degree). you may us degrees or radians, your choice. 3sec^2(x)tan(x)=4tan(x)       Log On


   

Question 734621: Find all solutions in the interval {0,2pi)or {0,360 degree). you may us degrees or radians, your choice.
3sec^2(x)tan(x)=4tan(x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
3sec%5E2%28x%29cross%28tan%28x%29%29=4cross%28tan%28x%29%29
3sec%5E2x=4
sec%5E2x=4%2F3
take sqrt of both sides
secx=2%2Fsqrt%283%29
secx=1%2Fcosx=2%2Fsqrt%283%29
cosx=sqrt%283%29%2F2
x=30º, 330º (in Q1 and Q4 where cos>0)