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.

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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.

Mathematics
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|dw:1442516732915:dw|
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!

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How do I do that?
ok, to find the hypotenuse, you use the pythagorean theorem. you know how to do that?
its \[c=\sqrt{a^2+b^2}\]
|dw:1442517134981:dw|
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!
it would be \[\pm \sqrt{13}\]
|dw:1442518343430:dw| now do you know the opposite and adjacent of the angle (theta)?
I do not :( How do I find that?
|dw:1442518455593:dw|
|dw:1442518522779:dw|
So adjacent would be 2 and Opp would be 3?
right! then use just use the equations in my first picture to solve it out!
Absolutely! Can you now find the sin, cos, and tan? |dw:1442518693365:dw|
what would the equation be?
for example, sin(theta) would be opp/hyp=3/sqrt(14)
I'm so confused :(

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