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"#