Asked by sweetG

3)Show that (cot^2)x - (cos^2)x = (cos^2)x(cot^2)x
Answered by Reiny
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.
Answered by sweetG
Thanks so much !
I really appreciate it :)
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