hawkfalcon
  • hawkfalcon
Find cos(theta) if tan(theta) = (-2/3) and sin(theta) > 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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hawkfalcon
  • hawkfalcon
Find \[\cos \theta if \tan \theta = -2/3 and \sin \theta >0\]
anonymous
  • anonymous
Here, you know that the tangent is opp/adjacent. Since the sine is positive, it must be in either the first or second quadrant right?
hawkfalcon
  • hawkfalcon
Yes.

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anonymous
  • anonymous
So the opposite leg must be positive, therefore since the tangent is negative the adjacent leg must be the negative one. So what quadrant is that?
hawkfalcon
  • hawkfalcon
Oh so you know o and a, you just need to find the h, and you can solve it :P
anonymous
  • anonymous
Yep.
anonymous
  • anonymous
Lets see what ya got when ya get it.
hawkfalcon
  • hawkfalcon
Thats 2nd quad
hawkfalcon
  • hawkfalcon
Okay:)
anonymous
  • anonymous
Yep.
hawkfalcon
  • hawkfalcon
\[\frac{ -3 }{ \sqrt{13}}\]
anonymous
  • anonymous
Thats it.
hawkfalcon
  • hawkfalcon
:D thank you!
anonymous
  • anonymous
No prob.
anonymous
  • anonymous
\[\frac{ x \sqrt{\left| x ^{2}-4 \right|} }{ x ^{2}-4 }-1>0\]
hawkfalcon
  • hawkfalcon
@Yasir_se wtf?

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