college trigonometry
posted by ken .
verify identity:
(tanxcotx)/sinxcosx=sec^2x csc^2x

LS = (sinx/cosx  cosx/sinx)/(sinxcosx)
= [(sin^2x  cos^2x)/(sinxcosx)]/sinxcosx
= (sin^2x  cos^2x)/(sin^2x cos^2x)
=sin^2x/(sin^2xcos^2x)  cos^2x/(sin^2xcos^2x)
= 1/cos^2x  1/sin^2x
= sec^2x  csc^2x
≠ RS
you have a typo, your right side should have been
sec^2x  csc^2x 
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