## unicwaan one year ago Find the the values of cos theta for the angle shown. Can someone walk me through this problem please?

1. unicwaan

Never mind I'll just explain the drawing. It's a graph that was a terminal point at (4, -square root of 33) so it's in quadrant 3..

2. unicwaan

3. unicwaan

I just have to find the value of cos theta with the given terminal point...

4. freckles

@unicwaan find the hyp of that right triangle |dw:1434746333384:dw| once you find the hyp then you find cos(theta) since that is adj/hyp

5. anonymous

impressive freckles

6. unicwaan

So would it be the square root of -33 over 4?

7. myininaya

no the hyp isn't 4

8. myininaya

and the adj isn't -sqrt(33) also -sqrt(33) isn't the same as sqrt(-33)

9. anonymous

No. Use a² + b² = c² to find the hypotenuse. then use the cosine formula |dw:1434746621568:dw|

10. myininaya

|dw:1434746664322:dw| the hyp is always opposite side the 90 angle

11. unicwaan

Okay I see where I messed up, so the hyp is 7, the sides lengths are 4 and (-\sqrt{33}\)

12. anonymous

yes the hypotenuse is 7

13. anonymous

14. unicwaan

So how would I tell which one is the adj?

15. myininaya

it is the side touching the angle in the picture that isn't the hyp

16. unicwaan

Okay and the angle being created is closest to the origin?

17. anonymous

yes

18. unicwaan

OH! So the cos theta would be 4/7?

19. anonymous

yes

20. unicwaan

THANK YOU ALL SO MUCH THIS MAKES SENSE!!!!