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Please explain

  1. Mar 10, 2006 #1
    What does "simplify" means in this case:
    Simplify each of the following:
    1. sin(3pi/2-x)
  2. jcsd
  3. Mar 10, 2006 #2


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    Homework Helper

    Do you mean something like this:
    [tex]\sin \left( \frac{3 \pi}{2 - x} \right)[/tex]?
    If you mean that, then I don't think it can be simplified any more. :wink:
  4. Mar 10, 2006 #3
    nope i mean sin [(3pi/2)-x]
  5. Mar 10, 2006 #4


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    Homework Helper

    Ahh, I see. I'll give you some hints. Do you know something like:
    [tex]\sin (\pi + x) = - \sin x[/tex] and
    [tex]\sin \left( \frac{\pi}{2} - x \right) = \cos x[/tex]?
  6. Mar 10, 2006 #5


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    In other words, "simplify" here means "write in a simpler form" which would be something like Asin(x)+ Bcos(x) rather than sin([itex]\theta[/itex]+x). In my opinion you would certainly be justified in arguing whether or not that is simpler but it is clearly what is intended.
  7. Mar 10, 2006 #6
    In general:
    [tex]sin(A \pm B)=sinA \, cosB \pm sinB \, cosA[/tex]
    [tex]cos(A \pm B)=cosA \, cosB \mp sinA \, sinB[/tex]

  8. Mar 21, 2006 #7
    thank you......
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