SOLUTION: Solve the equation for (theta) over the interval [0(degrees),360(degrees)). If necessary, round your answers to the nearest tenth. {{{ 3sec(theta) - 2sqrt(3) = 0 }}} What is

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation for (theta) over the interval [0(degrees),360(degrees)). If necessary, round your answers to the nearest tenth. {{{ 3sec(theta) - 2sqrt(3) = 0 }}} What is       Log On


   

Question 683403: Solve the equation for (theta) over the interval [0(degrees),360(degrees)). If necessary, round your answers to the nearest tenth.
+3sec%28theta%29+-+2sqrt%283%29+=+0+
What is the solution set?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation for (theta) over the interval [0(degrees),360(degrees)). If necessary, round your answers to the nearest tenth.
+3sec%28theta%29+-+2sqrt%283%29+=+0+
3secx-2√3) = 0
secx=2√3/3
cosx=1/secx=3/(2√3)=√3/2
x=30º, 300º (in quadrants I and IV where cos>0)