If `f(x)=((sin^m x)/(sin^n x))^(m+n)((sin^n x)/(sin^px))^(n+p)((sin^p x)/(sin^m x))^(p+m)` then f (x) is equal to

((sin^(m)x)/(sin^(n)x))^(m+n)*((sin^(n)x)/(sin^(q)x))^(n+q)((sin^(q)x)/(sin^(m)x))^(q+m)

sin^(m)x.cos^(n)x

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

(sin x) / (sin2x sin3x) + (sin x) / (sin3x sin4x) + (sin x) / (sin4x sin5x) + .... n

If (cos x)/(cos y) = n , (sin x)/(sin y) = m , then what is (m^2 - n^2) sin^2 y equal to ?

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

Let [x] denote the greatest integer less than or equal to x and g (x) be given by g(x)={{:(,[f(x)],x in (0","pi//2) uu (pi//2","pi)),(,3,x=(pi)/(2)):} "where", f(x)=(2(sin x-sin^(n)x)+|sinx-sin^(n)x|)/(2(sinx-sin^(n)x)-|sinx-sin^(n)x|),n in R^(+) then at x=(pi)/(2),g(x) , is

Let [x] denote the greatest integer less than or equal to x and g (x) be given by g(x)={{:(,[f(x)],x in (0","pi//2) uu (pi//2","pi)),(,3,x=(pi)/(2)):} "where", f(x)=(2(sin x-sin^(n)x)+|sinx-sin^(n)x|)/(2(sinx-sin^(n)x)-|sinx-sin^(n)x|),n in R^(+) then at x=(pi)/(2),g(x) , is

Find lim_( x to 0) (sin x^(n))/((sin x)^(m)) " where" , m , n in Z^(+) equal