SOLUTION: P is a point the the terminal arm of angle {{{ (theta) }}} in standard position. If {{{ (theta)= -840 }}}, where is P located? Would P be located in Quadrant 3? Thank you,

Algebra ->  Trigonometry-basics -> SOLUTION: P is a point the the terminal arm of angle {{{ (theta) }}} in standard position. If {{{ (theta)= -840 }}}, where is P located? Would P be located in Quadrant 3? Thank you,      Log On


   



Question 956668: P is a point the the terminal arm of angle +%28theta%29+ in standard position. If +%28theta%29=+-840+, where is P located?
Would P be located in Quadrant 3?
Thank you,

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Start at +0+ degrees
Spin in the negative direction ( clockwise )
+360+ degrees
------------------
Spin in the negative direction another +360+ degrees
-------------------
So far you have gone +-360+-+360+=+-720+ degrees
and you are still at +0+ degrees
-----------------------------
Now spin +90+ degrees in the negative direction
So far you have gone +-360+-+360+-+90+=+-810+ degrees
------------------------------
Spin +30+ degrees more in negative direction
You are at +0+-+90+-+30+=+-120+ degrees
-----------------------------------------
Note that you are at the same point as if you turned
+360+-+120+=+240+ degrees in the positive direction
This is a point in the 3rd quadrant