SOLUTION: please help me solve {{{ csc^2x - 2cotx = 0 }}}

Algebra ->  Trigonometry-basics -> SOLUTION: please help me solve {{{ csc^2x - 2cotx = 0 }}}      Log On


   

Question 838547: please help me solve +csc%5E2x+-+2cotx+=+0+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
+csc%5E2x+-+2cotx+=+0+
1%2Fsin%5E2%28x%29-2cos%28x%29%2Fsin%28x%29=0
LCD:sin^2(x)
1-2cos%28x%29sin%28x%29=0
1-sin%282x%29=0
sin(2x)=1
2x=π/2
x=π/4