" 30."(x)/(sin^(n)x)

If quad ((sin^(m)x)/(sin^(n)x))^(m+n)((sin^(n)x)/(sin^(p)x))^(n+p)((sin^(p)x)/(sin^(m)x))^(p+) 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)

If underset(x to 0)lim""(x^(n)sin^(n)x)/(x^(n)-sin^(n)x) is non-zero finite, then n equals :

For n in N, int_(0)^(2pi) (x sin^(2n)x)/(sin^(2n) x + cos^(2n) x) dx=

int_(0)^(pi//2)(sin^(n)x)/((sin^(n)x+cos^(n)x))dx=?

cos x*cos2x*cos4x......cos(2^(n-1)x)=(sin2^(n)x)/(2^(n)sin x)AA n in N

The value of the integral int_0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n) x)dx is :

If lim_(x to 0) (x^n-sin^n x)/(x-sin^n x) is nonzero and finite , then n in equal to

period the function f(x)=(sin{sin(n x)})/(tan (x/n)) , n in N, is 6pi then n= --------