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How do you solve $sin (2 t) + sin t = 0$ $sin(2t)+sint=0$ ?

1 Answer

Aug 9, 2016

$2 sin t cos t + sin t = 0$ $2sintcost + sint = 0$

$sin t (2 cos t + 1) = 0$ $sint(2cost + 1) = 0$

$sin t = 0 and cos t = - \frac{1}{2}$ $sint = 0 and cost = -1/2$

$t = 0 + π n, \frac{2 π}{3} + 2 π n and \frac{4 π}{3} + 2 π n$ $t = 0 + pin, (2pi)/3 + 2pin and (4pi)/3 + 2pin$

Hopefully this helps!

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