If `cos^3xsin2x=sum_(r=0)^n a_xsin(r x),AAx in R` then

If cos^(3)x sin2x=sum_(r=0)^(n)a_(x)sin(rx),AA x in R then

cos^(3)xsin2x=sum_(x=0)^(n)a_(r)sin(rx)AA x inR , then

cos ^(3) x sin 2x= sum _(x=0) ^(n) a _(r) sin (rx) AA x in R, then

If sin ^(3) x sin 3 x=sum_(r=0)^(n) a_(r) cos r x is an identity in x, then n=

If 8sin^(3)xsin3x=sum_(r=0)^(n)a^(r)cosrx is an identity in x, then n=

If 8sin^(3)xsin3xsin3x=sum_(r=0)^(n)a^(r)cosrx is an identity in x, then n=

If (1+2 x+x^(2))^(n)=sum_(r=0)^(2 n) a_(r) x^(r) , then a_(r) =

If (1+x+x^(2))^(n) = sum_(r=0)^(2 n) a_(r). x^(r) then a_(1)-2 a_(2)+3 a_(3)-..-2 n. a_(2n) =

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .