Q. Let n be an add integer if sin ntheta-sum_(r=0)^n(b_r)sin^rtheta, for every value of theta then ---

Let n be an odd integer.If sin n theta=sum_(r=0)^(n)b_(r)sin^(r)theta for all real theta is

sum_(r=0)^(n)nC_(r)sin rx*cos(n-r)x s equal to

sum_(r=0)^(n)nC_(r)(sin rx) is equal to

sum_(r=0)^(n) sin^(2)""(rpi)/(n) is equal to

If n is a positive integer,sum_(r=0)^(n)(^(^^)nC_(r))^(2)=

Consider (1+sin theta+sin^(2)theta)^(n)=sum_(r=0)^(2n) a_(r)(sin theta)^( r ), theta in R . The value of a_(0)+2a_(1)+3a_(2)+…+(2n+1)a_(2n) is

If n is a positive integer, for (1+x)^(n) ,then sum_(r=0)^(n).^nC_(r)=