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Capitalising trigonometric functions

  1. Dec 10, 2012 #1
    I have always capitalised the first letter of my trigonometric functions, for example, writing Sinθ as opposed to the usual sinθ. Is it wrong to capitalise them? Does it make a difference in meaning?
     
  2. jcsd
  3. Dec 10, 2012 #2
    It does not, however that is not common practice.
     
  4. Dec 11, 2012 #3

    Curious3141

    User Avatar
    Homework Helper

    It might make a difference, depending on your convention. Restricted sine and cosine functions sometimes have the first letter capitalised. Read: http://www.cliffsnotes.com/study_guide/Inverse-Cosine-and-Inverse-Sine.topicArticleId-11658,articleId-11639.html [Broken]
     
    Last edited by a moderator: May 6, 2017
  5. Dec 14, 2012 #4
    I think I've heard that Sin(x) was used for a different definition of the sine function, like sin(some constant* x).

    EDIT: after looking up on the internet, I haven't found anything supporting my claim yet, so I could be wrong.
     
    Last edited: Dec 14, 2012
  6. Dec 14, 2012 #5

    Mark44

    Staff: Mentor

    In some texts, Sin(x) is the sine function restricted to its principal domain, [-##\pi/2, \pi/2##].

    Similarly, Cos(x) is the cosine function restricted to its principal domain, [0, ##\pi##].


     
  7. Dec 14, 2012 #6
    I've seen both Sin and Cos refer to the complex extensions of sin and cos. So it seems as if different authors use the capitalised forms for different variants.
     
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