Assuming $0 \geq \theta (2\pi)$, how does one solve an equation of the form $$ \sin(\theta) + c\sin(2\theta) = 0? $$ More generally, how does one solve an equation of the form $$ \sum_{k=1}^n c_k\sin(k\theta) = 0? $$ A reference to a standard text is more than enough. Thanks!
2026-03-29 22:44:19.1774824259
Solve the equation $\sin(\theta) + c\sin(2\theta) = 0$?
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use that $$\sin(2x)=2\sin(x)\cos(x)$$