`m1/(x-n)(1/(sin(pix))-((-1)^n)/(pi(x-n)))=((-1)^npi)/k ,(n in Z)`.Find the value of k.

If the sum sum_(n=1)^(10)sum_(m=1)^(10)tan^(-1)((m)/(n))=k pi, find the value of k

If sum_(i=1)^(2n)sin^(-1)x_(i)=n pi then find the value of sum_(i=1)^(2n)x_(i)

Let f(n)=sum_(k=-n)^(n)(cot^(-1)((1)/(k))-tan^(-1)(k)) such that sum_(n=2)^(10)(f(n)+f(n-1))=a pi then find the value of (a+1) .

The period of f(x)=sin((pi x)/(n-1))+cos((pi x)/(n)),n in Z,n>2

The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2 , is

The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2 , is

If (sin^(-1)x+sin^(-1)y)(sin^(-1)Z+sin^(-1)w)=pi^(2) and n_(1),n_(2),n_(3),n_(4) in N value of |(x^(n1),y^(n2)),(z^(n)3,w^(n4))| cannot be equal to

If (sin^(-1)x+sin^(-1)y)(sin^(-1)Z+sin^(-1)w)=pi^(2) and n_(1),n_(2),n_(3),n_(4) in N value of |(x^(n1),y^(n2)),(z^(n)3,w^(n4))| cannot be equal to

if = |{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2),,8):}|, then find the value of (d^(n))/(dx^(n)) [f(x)]_(x=0) .(n in z) .