If and , then the value of must…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

\sin^2 A = x

and

\prod_{r=1}^{4} \sin(rA) = ax^2 + bx^3 + cx^4 + dx^5

, then the value of

10a - 7b + 15c - 5d

must be

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