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Capitalising trigonometric functions

 
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Dec10-12, 10:39 PM   #1
 

Capitalising trigonometric functions


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?
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Dec10-12, 10:50 PM   #2
 
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It does not, however that is not common practice.
Dec11-12, 06:26 AM   #3
 
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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_gui...eId-11639.html
Dec14-12, 08:34 PM   #4
 

Capitalising trigonometric functions


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.
Dec14-12, 09:24 PM   #5
 
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Quote by Boorglar View Post
I think I've heard that Sin(x) was used for a different definition of the sine function, like sin(some constant* x).
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##].


Quote by Boorglar View Post

EDIT: after looking up on the internet, I haven't found anything supporting my claim yet, so I could be wrong.
Dec14-12, 09:38 PM   #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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