cutiecomittee123
  • cutiecomittee123
Law of sines question, please help me walk through it!:)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cutiecomittee123
  • cutiecomittee123
|dw:1450150179854:dw|
anonymous
  • anonymous
bet it is the same as the last one right?
cutiecomittee123
  • cutiecomittee123
very close

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anonymous
  • anonymous
good work on the labeling too
cutiecomittee123
  • cutiecomittee123
so I know that we need to do 1/sin13=b/sin5 then I am confused is it b=1sin13/sin5 ?
anonymous
  • anonymous
yes
cutiecomittee123
  • cutiecomittee123
okay so b=2.58, but now how do we find c? this doesnt seem isoceles. it seems like a scalene triangle where all sides are different measures and angles too
anonymous
  • anonymous
multiply by the denominator
anonymous
  • anonymous
oh do it the same as the other one only this time use \(\sin(C)\)
cutiecomittee123
  • cutiecomittee123
so we use a/sinA=c/sinC?
anonymous
  • anonymous
yes it is the same
anonymous
  • anonymous
after all, we can move the letters around, the law of sines is just the law of sines don't get married to the variables
anonymous
  • anonymous
the length of a side divided by the sine of the opposite angle is equal to the length of any other side divided by the side of its opposite angle there is nothing magic about the \(a,b,c\)
cutiecomittee123
  • cutiecomittee123
okay well I did 1/sin13=c/sin162 but it gave me .73 and that cannot be right
cutiecomittee123
  • cutiecomittee123
1sin13/sin162^
anonymous
  • anonymous
why it is not right?
cutiecomittee123
  • cutiecomittee123
I guess it is just weird to have a decimal as a side length
anonymous
  • anonymous
oh i see hold on
Pinkpiggy
  • Pinkpiggy
So sorry about that, we had an issue in the family
anonymous
  • anonymous
it is not that it is a decimal, it is that it is smaller than one
anonymous
  • anonymous
\[\frac{1}{\sin(13)}=\frac{c}{\sin(162)}\] \[c=\frac{\sin(162)}{\sin(13)}\] you had it up side down
cutiecomittee123
  • cutiecomittee123
Which means that we have to use the thing where there are two answers dont we? you know; b1=sin^-1(b/aSinA), b2=180-sin^-1(b/aSinA)
cutiecomittee123
  • cutiecomittee123
ohhh so C goes on the top.
anonymous
  • anonymous
oh no you are finding the length of a side, not an angle
anonymous
  • anonymous
yeah \[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}\]
cutiecomittee123
  • cutiecomittee123
gotcha, well now I have c=1.37
cutiecomittee123
  • cutiecomittee123
way more accurate
anonymous
  • anonymous
yes
anonymous
  • anonymous
side opposite the largest angle is the largest side etc
cutiecomittee123
  • cutiecomittee123
okay cool
cutiecomittee123
  • cutiecomittee123
lol well I am gonna make another one again, here i go
anonymous
  • anonymous
ooooh kay

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