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Addition of sin and cos

  1. Mar 30, 2007 #1
    does cos + sin = 0?
     
  2. jcsd
  3. Mar 30, 2007 #2
    cos + sin can never be equal to anything other than cos + sin. sin and cos are just functions. Neither has a "value" as such.

    Do you want to if sin(somevalue1) + cos(somevalue2) = 0?
     
  4. Mar 30, 2007 #3
    like neutrino said cos + sin have no meaning. But if we get let's say

    sin(2n pi)+ cos[(pi/2)+n pi] =0, and there are more samples like this. if this is what you meant at first place?????
     
  5. Mar 30, 2007 #4
    did you mean [tex]cosx+sinx=0 [/tex] ?
    [tex]\mbox{for the above to be true},\\ cosx=-sinx \\ \Rightarrow cotx=-1 [/tex] (or [tex]sinx=0[/tex] but this does not hold for that.)
     
  6. Mar 30, 2007 #5
    Please only post calculus questions in this forum.
     
  7. Mar 30, 2007 #6
    LOL,this may well be calculus.....
    [tex]Max(sinx+cosx)= \sqrt{2}[/tex]
    [tex]Min(sinx+cosx)= -\sqrt{2}[/tex]
    Since they function is continuous, it must have x such that f(x)=0
     
  8. Mar 30, 2007 #7

    Gib Z

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    To OP: Short answer. No.
     
  9. Mar 30, 2007 #8

    Gib Z

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    Wait up, perhaps you got confused with this:

    [tex]\cos^2 x + \sin^2 x = 1[/tex]
     
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