softballislove3
Find cos θ if sin θ = 5/13 and tan θ > 0.



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myininaya
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If sine is negative and tangent is positive, then cosine is ____?____
tangent=sine/cosine=negative/cosine=positive
=>cosine is ___?____

softballislove3
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positive?

myininaya
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So negative/positive is positive
No...

softballislove3
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no its negative

myininaya
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Right.
You want tangent to be positive not negative

softballislove3
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positive

myininaya
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So you need cosine to be negative in order for tangent to be positive since sine is negative.

myininaya
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So we are in the (,) quadrant.

softballislove3
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yea

softballislove3
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correct

myininaya
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dw:1351269639105:dw
\[\sin( \theta)=5/13 \text{ is given to you} \]

softballislove3
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so then use pythagorean theorem to fine cosine

myininaya
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Find the other side using the Pythagorean thm.

softballislove3
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which would end up being 12/13

myininaya
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the other side is 12 is what you are saying
and no i thought you were looking for cosine...

myininaya
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oops I labeled the triangle wrong a little bit.

softballislove3
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i am

myininaya
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dw:1351270002298:dw

myininaya
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And you will be correct. :)

softballislove3
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dw:1351270017306:dw

softballislove3
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yay

softballislove3
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thank you!!!!

myininaya
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Right.