" Let "n=|[sin x,sin(x+h),sin(x+2h)],[sin(x+2h),sin x,sin(x+h)],[sin(x+h),sin(x+2h),sin x]]

If Delta = |[sinx,sin(x+h),sin(x+2h)],[sin(x+2h), sinx,sin(x+h)],[sin(x+h),sin(x+2h),sinx]| find lim_(h->0)(Delta/h^2)

Let Delta=|{:(sinx,sin(x+h),sin(x+2h)),(sin(x+2h),sinx,sin(x+h)),(sin(x+h),sin(x+2h),sinx):}| . Find underset(hto0)Lt(Delta/h^2)

If Delta=|{:(sinx,sin(x+h),sin(x+2h)),(sin(x+2h),sinx,sin(x+h)),(sin(x+h),sin(x+2h),sinx):}| find lim_(hto0)((Delta)/(h^(2))) .

If Delta=|{:(sinx,sin(x+h),sin(x+2h)),(sin(x+2h),sinx,sin(x+h)),(sin(x+h),sin(x+2h),sinx):}| find lim_(hto0)((Delta)/(h^(2))) .

If Delta=|{:(sinx,sin(x+h),sin(x+2h)),(sin(x+2h),sinx,sin(x+h)),(sin(x+h),sin(x+2h),sinx):}| find lim_(hto0)((Delta)/(h^(2))) .

If f(x)=det[[sin x,sin2x,0sin2x,sin3x,sin4xsin3x,sin4x,sin5x]] ,then:

sin x+sin3x+...+sin(2n-1)x=(sin^(2)nx)/(sin x)

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

sin x+sin3x+.......sin(2n-1)x=(sin^(2)nx)/(sin x)