SOLUTION: Prove the following identity: {{{cscx/1+cot^2x=sinx}}}

Algebra.Com
Question 1030466: Prove the following identity:
AMP Parsing Error of [cscx/1+cot^2x=sinx]: Invalid function '\x=sinx': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
cscx/1+cot^2x=sinx
(1+cot^2 x)=1+ cos^2 x/sin^2 x=[sin ^2 x+ cos^2 x]/sin^2 x=1/sin^2 x
csc x=1/sin x
Therefore it is 1/sin x/(1/sin ^2 x)= sin x
The identity is proven.

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