cos(2x)/sin^2(x)=cot^2(x)-1

cos(2x)/sin^2(x)=cot^2(x)-1
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1 Answer

 very simple

......................................

let

x=30 deg 

now

cos(2x)/sin^2(x)=cot^2(x)-1
cos 2(30)/ (sin 30)^2 = (cos30/sin30)^2 -1
(1/2)/(1/4)                  = (sqrt 3)^2 -1
4/2                             = 3-1

               2   =   2

LHS = RHS

hence proved

cos(2x)/sin^2(x)=cot^2(x)-1

by Level 1 User (660 points)

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