[" 1."sin2x]

Solve (1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)

lim_(x->0)[1^(1/sin^2x)+2^(1/sin^2x)+...................+n^(1/sin^2x)]^(sin^2x) =

Prove that (1- sin 2x)/(1+ sin 2x) = tan^(2) .((pi)/(4)-x)

Prove that (1+ sin 2x - cos 2x)/(1+ sin 2x + cos 2x) =tan x

The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is

Evaluate: lim_(n rarr0)(1^(1/sin^(2)x)+2sin^((1)/(2sin^(2)x))+...+n^(1/sin^(2)x))^(sin^(2)x)

Evaluate lim_(xto0) {1^(1//sin^(2)x)+2^(1//sin^(2)x)+...+n^(1//sin^(2)x)}^(sin^(2)x) .

Evaluate lim_(xto0) {1^(1//sin^(2)x)+2^(1//sin^(2)x)+...+n^(1//sin^(2)x)}^(sin^(2)x) .

Evaluate: ("lim")_(xto0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))^(sin^2x)