SOLUTION: Please verify the identity (also please include the steps you use to do so): Note: I have used "x" in place of theta in the formula below. {{{ ((cos(x)*cot(x))/csc(x))-1 = -sin

Algebra ->  Trigonometry-basics -> SOLUTION: Please verify the identity (also please include the steps you use to do so): Note: I have used "x" in place of theta in the formula below. {{{ ((cos(x)*cot(x))/csc(x))-1 = -sin      Log On


   

Question 829038: Please verify the identity (also please include the steps you use to do so):
Note: I have used "x" in place of theta in the formula below.
+%28%28cos%28x%29%2Acot%28x%29%29%2Fcsc%28x%29%29-1+=+-sin%5E2%28x%29+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28cos%28x%29%2Acot%28x%29%29%2Fcsc%28x%29%29-1+=+-sin%5E2%28x%29+
Multiply by csc%28x%29,
+cos%28x%29%2Acot%28x%29-csc%28x%29+=+-sin%5E2%28x%29%2A%281%2Fsin%28x%29%29+
+cos%28x%29%2Acot%28x%29-csc%28x%29+=+-sin%28x%29+
+cos%28x%29%2A%28cos%28x%29%2Fsin%28x%29%29-1%2Fsin%28x%29+=+-sin%28x%29+
Multiply both sides by sin%28x%29,
+cos%28x%29%2Acos%28x%29-1+=+-sin%28x%29%2Asin%28x%29+
+cos%5E2%28x%29%2B+sin%5E2%28x%29=1+