Posted by stacey graham on Saturday, March 27, 2010 at 9:21am.
Writing everything in terms of sine and cosine usually works, so ...
LS = (sinx/cosx + cosx/sinx)/(sinx/cosx - cosx/sinx)
= [(sin^2x + cos^2x)/sinxcosx]/[(sin^2x - cos^2x)/(sinxcosx)]
= [(sin^2x + cos^2x)/sinxcosx][(sinxcosx0)/(sin^2x - cos^2x)]
= 1/(sin^2x - cos^2x)
= RS
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