How do you solve $sin theta = 0$ ?

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Answer 1 · 2018-03-07T11:12:01

$theta = kpi, k in ZZ$

The $sin$ of an angle is based on a right triangle in standard position and is defined as the side opposite the angle divided by the hypotenuse.

If $sin(theta)=0$ then the side opposite the angle $theta$ must have a length of $0$

This only happens when $theta = 0 " or " pi" or "2pi" or " 3 pi" ...and so on"$

Answer 2 · 2018-03-07T11:12:32

$theta=0+kpi$

$sintheta=0$

$rArrsin^-1theta=0,pi,2pi,...$

$rArrtheta=0+kpitok inZZlarrcolor(blue)"general solution"$

How do you solve sin theta = 0sin theta = 0?