prove that the following equation is an identity

Mathematics
Tutor: None Selected Time limit: 1 Day

(cos^2(x))(cot^2(x))=(cot^2(x))-(cos^2(x))

May 6th, 2015

Left side:  (cos^2 ) ( cot^2x)            

               = cos^2 x 1/tan^2 x

             = cos^2 x (cos^2x)  /sin^2x

Right side = cot^2 x - cos^2x

                = 1/tan^2 x - cos^2 x

               = cos^2x /sin^2 -cos^2x

               = cos^2x ( 1-sin^2x)

               = cos^2 x (cos^2x)/sin^2x

Now left side = right side that proves the given identity.

May 6th, 2015

Please note that in the step before the last, division by sin^x is left out , so please add that sin^2x.

May 6th, 2015

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