Posted by **Jenn** on Saturday, April 7, 2012 at 2:06pm.

19pi/7

Which quadrant does the terminal side lie on?

- Trig -
**Bosnian**, Saturday, April 7, 2012 at 2:22pm
19 pi / 7 =

( 14 + 5 ) * pi / 7 =

( 14 / 7 ) pi + ( 5 / 7 ) pi =

2 pi + ( 5 / 7 ) pi

2 pi + theta = theta

I quadrant 0 ÷ pi / 2

II quadrant pi / 2 ÷ pi

III quadrant pi ÷ ( 3 / 2 ) pi

IV quadrant ( 3 / 2 ) pi ÷ 2 pi

theta = ( 5 / 7 ) pi

theta = 0.7142857 pi

thheta > pi /2

theta < pi

II quadrant

- Trig -
**Reiny**, Saturday, April 7, 2012 at 2:29pm
Some students can see this better when visualizing it in degrees

19π/7 radians = 19(180)/7 ° = 488.57..°

= co-terminal with 488.57-360 or 128.57..°

which would be in quadrant II

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