anonymous
  • anonymous
Studying for a test and forgot how to do this In the triangle below, what ratio is sec θ? HYP = 3.9 ADJ =3.6 OPP = 1.5 My choices are 1. 12/13 2. 5/13 3. 13/12 4. 12/5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Nnesha @Hero @dan815
anonymous
  • anonymous
picture?
Nnesha
  • Nnesha
draw a right triangle

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anonymous
  • anonymous
Well secant is 1/cosine. And I don't know if you ever learned this but my teachers always referred me back to SOHCAHTOA, Sine= opposite/hypotenuse Cosine = adjacent/hypotenuse Tangent = opposite/adjacent So from that you see that cosine is A/H and so secant would be H/A because it's the reciprocal So you have to see which answer is the same ratio as 3.9/3.6
Nnesha
  • Nnesha
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Nnesha
  • Nnesha
what is the definition of sec ? reciprocal of sec = what ?
anonymous
  • anonymous
Secant is the reciprocal of cosine so whatever cosine would be, say 3/4, secant would just be the reciprocal so 4/3
anonymous
  • anonymous
cosine is the reciprocal right? @Nnesha
Nnesha
  • Nnesha
yes not cosine if sin = 1/csc then csc =1/sin
Nnesha
  • Nnesha
same with the sec
anonymous
  • anonymous
Okay I'm still a little confused.
anonymous
  • anonymous
What do I do to find the answer?
Nnesha
  • Nnesha
first of all you need to know \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]
Nnesha
  • Nnesha
sec is reciprocal of 1/cos now look at the diagram cos theta =?
anonymous
  • anonymous
The secant would be the Hypotenuse/Adjacent So you would divide 3.9/3.6 which equals about 1.083 Then divide out the other answers to see which combination matches 1.083
anonymous
  • anonymous
@hiltbrandj09 Okay I get it. So it would be 13/12 right?
anonymous
  • anonymous
@Nnesha Do you think that is right?
anonymous
  • anonymous
Thank you both so much!
anonymous
  • anonymous
@marilynmonroe exactly!! & no problem (:

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