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Determine which one of the following statements is NOT true.

A

$\cos^4{x}-\sin^4{x}=\cos{2x}$

B

$\cfrac{\csc{x}}{\sin{x}}-\cfrac{\cot{x}}{\tan{x}}=1$

C

$\cfrac{\sec{x}}{\cot{x}}-\sec^2{x}=\sec^2{x}(\sin{x}-1)$

D

$\cfrac{\sec{x}-\cos{x}}{\sin^2{x}}=\sec{x}$

E

$\cfrac{\csc{x}-\cot{x}}{\tan{x}}=1$

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