SOLUTION: Hi could you please verify the following identity cosxcotx --------- - 1 =cosecx. Thank you 1-sinx

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Question 1130008: Hi
could you please verify the following identity
cosxcotx
--------- - 1 =cosecx. Thank you
1-sinx

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


%28cos%28x%29cot%28x%29%29%2F%281-sin%28x%29%29-1=csc%28x%29..........cot%28x%29=cos%28x%29%2Fsin%28x%29


%28cos%28x%29%28cos%28x%29%2Fsin%28x%29%29%29%2F%281-sin%28x%29%29-1=csc%28x%29


%28cos%5E2%28x%29%2Fsin%28x%29%29%2F%281-sin%28x%29%29+-1=csc%28x%29


cos%5E2%28x%29%2F%28sin%28x%29%281-sin%28x%29%29%29+-1=csc%28x%29









.............cos%5E2%28x%29+%2Bsin%5E2%28x%29=1


%28+1-sin%28x%29%29%2F%28sin%28x%29%281-sin%28x%29%29%29=csc%28x%29


cross%28%28+1-sin%28x%29%29%291%2F%28sin%28x%29cross%28%281-sin%28x%29%29%29%29=csc%28x%29


1%2Fsin%28x%29=csc%28x%29


csc%28x%29=csc%28x%29