Question

How can I name a point on the terminal side of 240 degrees?

Answer 1

think of your unit circle. can you name a point on the terminal side of 60º?

Answer 2

the only difference between the 2 is that the x and y-coordinates will be negative if the terminal side lies in the 3rd quadrant

Answer 3

think of a 30-60-90 triangle with a hypotenuse of 1

Answer 4

So between possible choices of either (-1, -(square root 3)) and (-(square root 3), -3), how do I determine which is the correct choice? They both seem plausible to me.

Answer 5

those are both points on the same terminal side because their tangents are equal

Answer 6

I am under the impression that there is only one correct answer choice, though. There were three other possibilities I tossed out because the above points are the only ones that are negative for both x and y.

Answer 7

seems to me that both points would be on the terminal side

Answer 8

did somewhere further up it mention that it has to be a point on the unit circle?

Answer 9

No, that's the entire question. I am trying to figure out what it means. Would (-(sqr rt 3), -3) be on the same side since they are further apart than (-1,-(sqr rt 3)?

Answer 10

-3/-sqrt(3)=-sqrt(3)/-1=sqrt(3)

Answer 11

(-(sqr rt 3), -3) is (-1.73, -3), while (-1, -(sqr rt 3)) is about (-1, -1.73)? Second one seems more plausible, right?

Answer 12

neither seems more plausible, both points lie on the ray that is 240º counter-clockwise from the positive x-axis

Answer 13

Hmm... bad question then I guess. Ah well, I'll take a stab at one or the other thanks.

Answer 14

yw