Addition of sin and cos

  • Thread starter Ry122
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  • #1
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Main Question or Discussion Point

does cos + sin = 0?
 

Answers and Replies

  • #2
2,063
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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?
 
  • #3
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does cos + sin = 0?
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?????
 
  • #4
182
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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.)
 
  • #5
Please only post calculus questions in this forum.
 
  • #6
182
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Please only post calculus questions in this forum.
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
 
  • #7
Gib Z
Homework Helper
3,346
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To OP: Short answer. No.
 
  • #8
Gib Z
Homework Helper
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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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