DarkBlueChocobo
  • DarkBlueChocobo
Help with trig
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
kawii2004
  • kawii2004
question?
DarkBlueChocobo
  • DarkBlueChocobo
If tan(theta)>0 and sec(theta)<0 then theta is in which quadrant?
Astrophysics
  • Astrophysics
Ever heard of CAST?

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DarkBlueChocobo
  • DarkBlueChocobo
I have not
DarkBlueChocobo
  • DarkBlueChocobo
But I was thinking if tan = sin/cos then sin and cos were are not negative
DarkBlueChocobo
  • DarkBlueChocobo
or they are both negative or both positive?
Astrophysics
  • Astrophysics
|dw:1443835637183:dw| It's like a quick way to see where the ratios are positive and negative, A represents all positive in that quadrant, S is sin theta, C is cos theta, and T is tan theta. So they are positive in those quadrants where the letter is, and negative in the rest.
DarkBlueChocobo
  • DarkBlueChocobo
so it would be the 3rd quadrant then?
DarkBlueChocobo
  • DarkBlueChocobo
since Tan is positive in quadrant 3 ?
Astrophysics
  • Astrophysics
Yes, exactly!
DarkBlueChocobo
  • DarkBlueChocobo
Well thank you for the new method of solving that. That makes everything a lot more easy
Astrophysics
  • Astrophysics
It's a pretty handy trick if you don't want to spend a bunch of time on these problems, but know how the ratios work, :)
DarkBlueChocobo
  • DarkBlueChocobo
Explain how the ratios work? I was thinking if tan is > 0 then sin and cos must be positive in order to get out positive
Astrophysics
  • Astrophysics
I mean ratio as in if you have triangles, because \[\tan \theta = \frac{ y }{ x }\]
Astrophysics
  • Astrophysics
\[\sin \theta = \frac{ y }{ r }\] \[\cos \theta = \frac{ x }{ r }\] \[\tan \theta = \frac{ \sin \theta }{ \cos \theta } = \frac{ \frac{ y }{ r } }{ \frac{ x }{ r } } = \frac{ y }{ x }\]
DarkBlueChocobo
  • DarkBlueChocobo
yes but where does that relate to in quadrants?
DarkBlueChocobo
  • DarkBlueChocobo
i understand the unit circle and stuff I just don't get like what that have to deal with finding it like if it was sin>0 and cos<0 Then you could pinpoint that it was in the 2nd quad cause that's where that is true
Astrophysics
  • Astrophysics
Ok lets look at the quadrants |dw:1443836610435:dw| negative*negative = + that's why tan theta is positive
Astrophysics
  • Astrophysics
Does that make sense? Or still a bit confused?
DarkBlueChocobo
  • DarkBlueChocobo
I mean i get that a - * - is a positive. I don't get how it relates to tan though
DarkBlueChocobo
  • DarkBlueChocobo
oh wait
DarkBlueChocobo
  • DarkBlueChocobo
you are saying if -y/-x=+yx?
DarkBlueChocobo
  • DarkBlueChocobo
I would get why that is positive then nevermind
Astrophysics
  • Astrophysics
Don't over think, it's not as hard as it seems, remember that these trig functions are all related to right triangles, so that's how we really get these ratios it's just \[r = \sqrt{x^2+y^2}\]
DarkBlueChocobo
  • DarkBlueChocobo
Alrights

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