The Sine Law question

Discussion in 'Geometry and Trigonometry' started by DropDeadFred, Nov 4, 2017.

  1. DropDeadFred

    DropDeadFred

    Joined:
    Nov 4, 2017
    Messages:
    1
    Likes Received:
    0
    So I'm working my way through a grade ten academic math course and I make it to the sine law section. Then I come across this equation in one of the examples and I honestly don't understand what was done to line one to result in line two. The problem is solving for e using the sine law, basically a/sinA = b/sinB = c/sinC. In the example this line is stated:

    54.0/sin44 = e/sin50

    Then the following line states:

    e = 54.0 sin50/sin44

    I don't understand what was done in line one to get to line two. To me, to isolate "e" you would multiply both sides by "sin50" and result in:

    e = 54.0/sin44 X sin50

    Please explain to me how this workso_O
     
    DropDeadFred, Nov 4, 2017
    #1
  2. DropDeadFred

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,884
    54.0/sin44 = e/sin50............cross multiply

    54.0*sin50 = e*sin44........both sides divide by sin44
    54.0*sin50/ sin44 = e*sin44/ sin44
    54.0*sin50/ sin44 = e*1
    54.0*sin50/ sin44= e
     
    MathLover1, Jul 7, 2021
    #2
    nycmathguy likes this.
  3. DropDeadFred

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    Great job as always.
     
    nycmathguy, Jul 8, 2021
    #3
  4. DropDeadFred

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,884
    ty, I didn't know it was your post
     
    MathLover1, Jul 8, 2021
    #4
    nycmathguy likes this.
  5. DropDeadFred

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    It's not my post. I decided to thank you because DropDeadFred may not say thanks, which is very common here.
     
    nycmathguy, Jul 8, 2021
    #5
    MathLover1 likes this.
  6. DropDeadFred

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,884
    you know that person?
     
    MathLover1, Jul 8, 2021
    #6
    nycmathguy likes this.
  7. DropDeadFred

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    422
    No. I don't know that person but this is a common thing on this site. Haven't you noticed that most people don't say thank you or at least acknowledge the tutor?
     
    nycmathguy, Jul 8, 2021
    #7
Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.
Similar Threads
There are no similar threads yet.
Loading...