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anonymous

  • one year ago

Which of the following cannot be derived from the law of sines?

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  1. anonymous
    • one year ago
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  2. Loser66
    • one year ago
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    What is the law of sines?

  3. anonymous
    • one year ago
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    dont know.... lol that why i asked

  4. Loser66
    • one year ago
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    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?

  5. anonymous
    • one year ago
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    lmfao.. yea i did man! i got nuthin! imma fail this test !

  6. mathstudent55
    • one year ago
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    Law of Sines \(\large \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} \)

  7. mathstudent55
    • one year ago
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    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.

  8. mathstudent55
    • one year ago
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    Now look at choice B. Can you change that equation to make it look like the law of sines?

  9. mathstudent55
    • one year ago
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    B. \(a \cdot \sin B = b \cdot \sin A\) What happens if you divide both sides by \(\sin A \sin B\) ?

  10. anonymous
    • one year ago
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    cross multiply?

  11. mathstudent55
    • one year ago
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    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?

  12. anonymous
    • one year ago
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    to be honest ! not really sure!

  13. anonymous
    • one year ago
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    is the answer c?

  14. mathstudent55
    • one year ago
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    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?

  15. mathstudent55
    • one year ago
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    \(\dfrac{a \cdot \cancel{\sin B}}{\sin A \cancel{\sin B}} = \dfrac{b \cdot \cancel{\sin A}}{\cancel{\sin A} \sin B} \) 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.

  16. mathstudent55
    • one year ago
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    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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