Answer to Question #144317 in Trigonometry for Shahir Sheikh

Question

csc^2(x)−cot^2(x)=

Answer 1

$\csc^2 x-\cot^2 x=\frac{1}{\sin^2 x}-\frac{\cos^2 x}{\sin^2 x}=\frac{1-\cos^2 x}{\sin^2 x}=\frac{\sin^2 x}{\sin^2 x}=1$