SOLUTION: 1/1−sin(x)=sec^2(x)+sec(x)tan(x) Hi tutors, i already solve this identity by RHS, but now i want to solve it by LHS, but i got stuck at the very beginning which like 1/1

Algebra ->  Trigonometry-basics -> SOLUTION: 1/1−sin(x)=sec^2(x)+sec(x)tan(x) Hi tutors, i already solve this identity by RHS, but now i want to solve it by LHS, but i got stuck at the very beginning which like 1/1      Log On


   

Question 1114589: 1/1−sin(x)=sec^2(x)+sec(x)tan(x)
Hi tutors, i already solve this identity by RHS, but now i want to solve it by LHS, but i got stuck at the very beginning which like
1/1-sinx = /1-sinx * 1-sinx/1-sinx = 1-sinx/(1-sinx)^2
can someone give me some hints to continue this works ? thank you!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F%281-sin%28x%29%29%29%28%281%2Bsin%28x%29%29%2F%281%2Bsin%28x%29%29%29

%281%2Bsin%28x%29%29%2F%281-sin%5E2%28x%29%29

%281%2Bsin%28x%29%29%2Fcos%5E2%28x%29

1%2Fcos%5E2%28x%29%2Bsin%28x%29%2Fcos%5E2%28x%29

sec%5E2%28x%29%2B%28sin%28x%29%2Fcos%28x%29%29%281%2Fcos%28x%29%29

sec%5E2%28x%29%2Btan%28x%29%2Asec%28x%29

and then commutative property for multiplication, for the term on the right in the expression