anonymous
  • anonymous
Which of the following cannot be derived from the law of sines?
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
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Loser66
  • Loser66
What is the law of sines?
anonymous
  • anonymous
dont know.... lol that why i asked

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Loser66
  • Loser66
hahaha... I don't know either. That is why I asked you about the law before considering which one is the correct one. Can you google it?
anonymous
  • anonymous
lmfao.. yea i did man! i got nuthin! imma fail this test !
mathstudent55
  • mathstudent55
Law of Sines \(\large \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} \)
mathstudent55
  • mathstudent55
A. The first choice is just the first two fractions of the law of sines, so it certainly can be derived from the law of sines.
mathstudent55
  • mathstudent55
Now look at choice B. Can you change that equation to make it look like the law of sines?
mathstudent55
  • mathstudent55
B. \(a \cdot \sin B = b \cdot \sin A\) What happens if you divide both sides by \(\sin A \sin B\) ?
anonymous
  • anonymous
cross multiply?
mathstudent55
  • mathstudent55
You can only cross multiply if you have a fraction equaling a fraction. You need to do to choice B the opposite of cross multiply and end up with two fractions. Do the division I mentioned above. What do you get?
anonymous
  • anonymous
to be honest ! not really sure!
anonymous
  • anonymous
is the answer c?
mathstudent55
  • mathstudent55
This is still choice B. Divide both sides by sin A sin B: \(\dfrac{a \cdot \sin B}{\sin A \sin B} = \dfrac{b \cdot \sin A}{\sin A \sin B} \) What cancels out of each side and what are you left with?
mathstudent55
  • mathstudent55
\(\dfrac{a \cdot \cancel{\sin B}}{\sin A \cancel{\sin B}} = \dfrac{b \cdot \cancel{\sin A}}{\cancel{\sin A} \sin B} \) What is left? \(\dfrac{a }{\sin A } = \dfrac{b }{\sin B} \) Isn't what is left still the law of sines? That means choice B. is not the answer.
mathstudent55
  • mathstudent55
Now work on choice C. First, cross multiply. Then divide both sides by sin B sin C. What do you get?

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