Verify sec(x)/(csc(x) - cot(x)) - sec(x)/(csc(x) + cot(x)) = 2csc(x)

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Verify sec(x)/(csc(x) - cot(x)) - sec(x)/(csc(x) + cot(x)) = 2csc(x)
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I need your help sir. I tried to prove this identities for hours and already wasted 3 papers. I hope you can help me . This is the question: prove 1 + tan 2 theta tan theta = sec 2 theta

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