3)Show that (cot^2)x - (cos^2)x = (cos^2)x(cot^2)x

Answer 1

L.S.
= cos^2 x/sin^2 x - cos^2 x
= (cos^2 x - (sin^2 x)(cos^2 x))/sin^2 x
= cos^2 x(1 - sin^2 x)/sin^2 x
= cos^2 x(cos^2 x)/sin^2 x
= (cos^2 x)(cot^2 x)
= R.S.

Answer 2

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