If \cos \theta+i \sin \theta, \theta \in \mathbb{R}, is a root of the equation a_0 x^n+a_1 x^{n-1}+. . .+a_{n-1} x+a_n=0, a_0, a_1, . . . a_n \in \mathbb{R}, a_0 \neq 0 then the value of a_1 \sin \theta+a_2 \sin 2 \theta+. . .+a_n \sin n \theta is

WBJEE 2024 Math Paper

Question : 14 of 75

Marks: +1, -0

If cos‌θ+isin‌θ,θ∈ℝ, is a root of the equation
a0xn+a1xn−1+...+an−1x+an=0,a0,a1,...an∈ℝ,a0≠0
then the value of a1sin‌θ+a2sin‌2θ+...+ansin‌nθ is

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