Posted by Alycia on Thursday, November 1, 2012 at 4:19pm.
LS = (1/cosx) / cosx - (1/sinx) /sinx
= 1/cos^2 x - 1/(sin^2 x)
= (sin^2x + cos^2x)/cos^2x - (sin^2x + cos^2x)/sin^2x
= sin^2x/cos^2x + cos^2x/cos^2x - sin^2x/sin^2x - cos^2x/sin^2x
= tan^2x + 1 - 1 - cot^2x
= tan^2x - cot^2x
2. RS = (1+tanx)/sinx
= 1/sinx + tanx/sinx
= cscx + (sinx/cosx) /sinx
= cscx + 1/cosx
= cscx + secx
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