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Prove that cot(theta/2)-tan(theta/2)=2co...

Prove that `cot(theta/2)-tan(theta/2)=2cot theta`

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`LHS =(cos ((x)/(2)))/(sin ((x)/(2)))-(sin ((x)/(2)))/(cos ((x)/(2))) ={{cos^(2) ((x)/(2))-sin^(2) ((x)/(2))}}/(sin .(x)/(2) cos .(x)/(2))`
` =(2 cos x)/(sin x) = 2 cot x =RHS`
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