SOLUTION: find all solutions of the equation 9sec(x) csc(x)=18csc(x) in the interval [0,2pi)

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Question 824146: find all solutions of the equation 9sec(x) csc(x)=18csc(x) in the interval [0,2pi)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all solutions of the equation 9sec(x) csc(x)=18csc(x) in the interval [0,2pi)
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9sec%28x%29csc%28x%29=18csc%28x%29
..
%289%2Fcos%28x%29%29%281%2Fsin%28x%29%29=%2818%2Fsin%28x%29%29
..
divide both sides by 9
%281%2F%28cos%28x%29sin%28x%29%29%29=%282%2Fsin%28x%29%29
multiply both sides by sin(x)
%281%2Fcos%28x%29%29=2
cos(x)=1/2
x=π/3,5π/3 (in quadrants I and IV in which cos>0)