SOLUTION: Find all solutions of the equation in the interval [0, 2π). (If there is no solution, enter NO SOLUTION.) 7 sec x csc x = 14 csc x

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation in the interval [0, 2π). (If there is no solution, enter NO SOLUTION.) 7 sec x csc x = 14 csc x       Log On


   

Question 728254: Find all solutions of the equation in the interval
[0, 2π).
(If there is no solution, enter NO SOLUTION.)
7 sec x csc x = 14 csc x

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of the equation in the interval
[0, 2π).
(If there is no solution, enter NO SOLUTION.)
7 sec x csc x = 14 csc x
divide by 7
sec x csc x = 2 csc x
secx=2=1/cos x
cos x=1/2
x=π/3, 5π/3 (in quadrants I and IV)