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1. (csc^2x)(tan^2x)-1= tan^2x
(tan^2x+ [ tan^2x] ) ( 1) - tan^2x= tan^2x cot^2x+ ( [ tan^2x] [ 1] ) - 1= tan^2x ( tan^2x) + 1- tan^2x= cot^2x 1= tan^2x