Prove that ![\rm \bigg[cosecx - cotx\bigg]^{2} = \dfrac{1 - cosx}{1 + cosx}](https://tex.z-dn.net/?f=+%5Crm+%5Cbigg%5Bcosecx+-+cotx%5Cbigg%5D%5E%7B2%7D+%3D+%5Cdfrac%7B1+-+cosx%7D%7B1+%2B+cosx%7D "\rm \bigg[cosecx - cotx\bigg]^{2} = \dfrac{1 - cosx}{1 + cosx}")
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