Use the graph of the sine function to find the values of theta for which sin theta=0

http://imgur.com/12HATAN

Question

Use the graph of the sine function to find the values of theta for which sin theta=0

http://imgur.com/12HATAN

johnweldon1993 · Answer

Well as we can see, when the sine function crosses the theta axis at $\large 2\pi $ it equals 0

Before that, directly between 0 and 2pi it crosses again...so it would be half that distance or just $\large \pi$

So it seems, at integer multiples of $\large \pi$ the sine function equals 0 right?

What answer choice would that correspond to?

haleyelizabeth2017 · Answer

B?

johnweldon1993 · Answer

Correct indeed :)

You can also think about the unit circle as well!

|dw:1448410652912:dw|

We know that "sin" is the vertical portion of the unit circle...so since both pi and 2pi are on the axis where height = 0 ...then sin = 0

haleyelizabeth2017 · Answer

oh

jim_thompson5910 · Answer

This unit circle http://www.regentsprep.org/regents/math/algtrig/att5/600px-Unit_circle_angles_svg.jpg might help. The y coordinate of each point on the circle is equal to `sin(theta)`

haleyelizabeth2017 · Answer

Okay, thank you