Capitalising trigonometric functions

[EricPowell]

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?

 

[Vorde]

It does not, however that is not common practice.

 

[Curious3141]

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

 

[Boorglar]

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.

 

[Mark44]

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, $\pi$].

EDIT: after looking up on the internet, I haven't found anything supporting my claim yet, so I could be wrong.

 

[Michael Redei]

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.