Maximum sum of coefficient in the expansion of (1-x sin θ+x2) n is

Question

Maximum sum of coefficient in the expansion of (1-x sin θ+x2) n is (A) 1 (B) 2 n  (C) 3 n  (D) 0

Tardigrade Admin · Accepted Answer

Sum of coefficients in (1-x sin θ+x2)n is (1- sin θ+1) n (Putting x=1 ) This sum is greatest when sin θ =-1, then maximum sum is 3 n .

Q. Maximum sum of coefficient in the expansion of $(1 - x sin θ + x^{2})^{n}$ is