## iiamentertainment one year ago Trig.

1. iiamentertainment
2. myininaya

So -180 degrees means you are going to go a half of the circle clockwise |dw:1379695755546:dw|

3. myininaya

Now tan(x)=sin(x)/cos(x) sin(x) and cos(x) are given to you in that picture for x=-180 degrees

4. iiamentertainment

so my answer would -1 correct

5. iiamentertainment

For number 2 its 4^2 + 3^2 = c^2 which equals 25 so c^2 = 5

6. myininaya

Well no. Because tan(-180 deg)=sin(-180 degrees)/cos(-180 degrees) You are only giving the me what cos(-180 degrees) equals.

7. iiamentertainment

well then im confused

8. myininaya

Let me show you a picture.

9. myininaya

|dw:1379696063163:dw| cos(theta)=adj/hyp=x/1=x So the x coordinate is cos(theta) sin(theta)=opp/hyp=y/1=y So the y coordinate is sin(theta) tan(theta)=opp/adj=y/x Your coordinates are given to you when you do that -180 degree rotation.

10. myininaya

Just put them in place of y and x.

11. myininaya

|dw:1379696195859:dw|

12. myininaya

tan(-180 deg)=?

13. iiamentertainment

(-1,0)

14. myininaya

well plug those numbers remember tan(theta)=y/x

15. iiamentertainment

im sorry im so lost

16. myininaya

what is y and what is x?

17. myininaya

Remember your coordinates are (x,y) which means that x is -1 and y is 0. Just replace your x with -1 and replace your y with 0.

18. myininaya

$\tan(-180^o) =\frac{\text{the y coordinate after rotating} -180^o}{\text{ the x coordinate after rotating} -180^o}$

19. myininaya

Replace that y coordinate with 0 Replace the x coordinate with -1 You know to do this since tan(theta)=y/x and your coordinate is (-1,0)

20. myininaya

So you should be able to do the last one. I will give you a hint use the same formula from above tan(theta)=y/x