(cotx-cosecx)^2=(secx-1)/(secx+1)
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{cosx/sinx - 1/sinx}^2 = {(cosx-1)/sinx}^2 = (cosx-1)^2 / sin^2x
Since sin^2 x = 1-cos^2 x = (1+cos x)(1-cosx)
=> (cosx-1)^2 / sin^2x = cosx-1 / cosx +1
Dividing and multiplying by cos x
=> (sec x - 1) / (sec x +1)
Since sin^2 x = 1-cos^2 x = (1+cos x)(1-cosx)
=> (cosx-1)^2 / sin^2x = cosx-1 / cosx +1
Dividing and multiplying by cos x
=> (sec x - 1) / (sec x +1)
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