## anonymous one year ago The point (2, 3) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

1. anonymous

@jeweaver145

2. anonymous

|dw:1442516732915:dw|

3. anonymous

so your first move would be to find the length of the hypotenuse and then use the trig identities to solve for the sin cos and tan!

4. anonymous

How do I do that?

5. anonymous

ok, to find the hypotenuse, you use the pythagorean theorem. you know how to do that?

6. anonymous

its $c=\sqrt{a^2+b^2}$

7. anonymous

|dw:1442517134981:dw|

8. anonymous

right, so you find c, which is the hypotenuse, by using a=3 and b-2 in that equation. Then you can use the trig in my picture to solve!

9. anonymous

it would be $\pm \sqrt{13}$

10. anonymous

|dw:1442518343430:dw| now do you know the opposite and adjacent of the angle (theta)?

11. anonymous

I do not :( How do I find that?

12. anonymous

|dw:1442518455593:dw|

13. anonymous

|dw:1442518522779:dw|

14. anonymous

So adjacent would be 2 and Opp would be 3?

15. anonymous

right! then use just use the equations in my first picture to solve it out!

16. anonymous

Absolutely! Can you now find the sin, cos, and tan? |dw:1442518693365:dw|

17. anonymous

what would the equation be?

18. anonymous

@jeweaver145 @mathway

19. anonymous

for example, sin(theta) would be opp/hyp=3/sqrt(14)

20. anonymous

I'm so confused :(