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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

Let f(x) = ax^2 + bx + c where a, b, c are integers. If (π)/(7) ·...

Let f(x)=ax2+bx+cf(x) = ax^2 + bx + c where a,b,ca, b, c are integers. If sin⁡π7⋅sin⁡3π7+sin⁡3π7⋅sin⁡5π7+sin⁡5π7⋅sin⁡π7=f(cos⁡π7)\sin\frac{\pi}{7} \cdot \sin\frac{3\pi}{7} + \sin\frac{3\pi}{7} \cdot \sin\frac{5\pi}{7} + \sin\frac{5\pi}{7} \cdot \sin\frac{\pi}{7} = f(\cos\frac{\pi}{7}) then find the value of f(2)f(2):

Correct answer

9

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