anonymous
  • anonymous
Using the following triangle, what is the secant of angle B?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
https://static.k12.com/eli/bb/179/5_17041/2_7327_2_17043/cb4a04042e664a8186b104e6985da3bb32982aba/media/097223243a9e3d91c70d1a39a69a8c954a96adfe/mediaasset_669684_1.gif
anonymous
  • anonymous
answer choices are Sec B= c/b Sec B= a/c Sec B= b/c Sec B= c/a
anonymous
  • anonymous
someone please help

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AbdullahM
  • AbdullahM
Hint: \(\sf\Large sec(B)= \frac{1}{cos(B)}\)
anonymous
  • anonymous
i really don't know how to do this...
AbdullahM
  • AbdullahM
|dw:1434820417301:dw|
anonymous
  • anonymous
i think i kind of see what you're showing me...
AbdullahM
  • AbdullahM
Find \(\sf cos(B)\) and then do the reciprocal of that to find out what \(\sf sec(B) \) is. :)
anonymous
  • anonymous
so it's Sec B b/c?
AbdullahM
  • AbdullahM
No... What is \(\sf cos(B)\) first?
anonymous
  • anonymous
cos(B) is adj/hyp
acxbox22
  • acxbox22
SEC(B)=hypotenuse/adjacent which is the same as the reciprocal of COS(B)
AbdullahM
  • AbdullahM
^ exactly.
AbdullahM
  • AbdullahM
So what side is adjacent to angle B?
anonymous
  • anonymous
the opposite?
AbdullahM
  • AbdullahM
|dw:1434821019903:dw|
AbdullahM
  • AbdullahM
The adjacent side.
anonymous
  • anonymous
oh. sorry ....
anonymous
  • anonymous
so what's the annswer?
AbdullahM
  • AbdullahM
|dw:1434821272236:dw| What is the adjacent side to angle B?
anonymous
  • anonymous
b
anonymous
  • anonymous
the one between A and C
AbdullahM
  • AbdullahM
That is the side opposite to it, not adjacent.
anonymous
  • anonymous
a?
AbdullahM
  • AbdullahM
correct, and what is the hypotenuse?
AbdullahM
  • AbdullahM
Sec(B)=hypotenuse/adjacent so adj=a \(\sf\Large Sec(B)=\frac{Hypotenuse}{a}\) Which answer choice has a in the denominator?
anonymous
  • anonymous
the denominator?
AbdullahM
  • AbdullahM
|dw:1434821783694:dw|

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