The sum of all values of x in [0,2π], for which sinx+sin2x+sin3x+sin4x=0, is equal to :
Held on 25 Jul 2021 · Verified 6 Jul 2026.
8π
11π
12π
9π
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If $\cot x=\frac{5}{12}$ for some $x \in\left(\pi, \frac{3 \pi}{2}\right)$, then $\sin 7 x\left(\cos \frac{13 x}{2}+\sin \frac{13 x}{2}\right)+\cos 7 x\left(\cos \frac{13 x}{2}-\sin \frac{13 x}{2}\right)$ is equal to
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