anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@jeweaver145
anonymous
  • anonymous
|dw:1442516732915:dw|
anonymous
  • 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!

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anonymous
  • anonymous
How do I do that?
anonymous
  • anonymous
ok, to find the hypotenuse, you use the pythagorean theorem. you know how to do that?
anonymous
  • anonymous
its \[c=\sqrt{a^2+b^2}\]
anonymous
  • anonymous
|dw:1442517134981:dw|
anonymous
  • 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!
anonymous
  • anonymous
it would be \[\pm \sqrt{13}\]
anonymous
  • anonymous
|dw:1442518343430:dw| now do you know the opposite and adjacent of the angle (theta)?
anonymous
  • anonymous
I do not :( How do I find that?
anonymous
  • anonymous
|dw:1442518455593:dw|
anonymous
  • anonymous
|dw:1442518522779:dw|
anonymous
  • anonymous
So adjacent would be 2 and Opp would be 3?
anonymous
  • anonymous
right! then use just use the equations in my first picture to solve it out!
anonymous
  • anonymous
Absolutely! Can you now find the sin, cos, and tan? |dw:1442518693365:dw|
anonymous
  • anonymous
what would the equation be?
anonymous
  • anonymous
@jeweaver145 @mathway
anonymous
  • anonymous
for example, sin(theta) would be opp/hyp=3/sqrt(14)
anonymous
  • anonymous
I'm so confused :(

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