How do you verify ##(1+cosx)/(1-cosx) – (1-cosx)/(1+cosx)=4cotxcscx##?

Verify trig expression.

Develop left side numerator: ##(1 + cos x)^2 – (1 – cos x)^2 = 4cos x## Develop left side denominator: ##(1 – cos x)(1 + cos x) = (1 – cos^2 x) = sin^2 x.## Full left side: ##(4cos x)/sin^2 x = 4(cos x/sin x) (1/sin x) = 4cot x.csc x##


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