Is there a mathematical symbol for expressing one function in terms of another?

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There is no specific mathematical symbol for expressing one function "in terms of" another, such as converting cos(x) / tan(x) into sin(x). The phrase is typically written out because mathematical notation lacks a dedicated symbol for this concept. To express functions in terms of another, one must utilize trigonometric identities to rewrite them in equivalent forms. The example provided demonstrates that cos(x) / tan(x) can be simplified to 1/sin(x) - sin(x) using these identities. Overall, the discussion emphasizes the need for identity manipulation rather than a formal symbol.
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math symbol for "in terms of"

If there was a simple trig problem like express cos(x) / tan(x) in terms of sin(x).

I can't seem to find the mathematical symbol for doing "in terms of". I'm learning on my own, and don't yet have my calculus book, so I'm just reviewing sample problems, but they just say "in terms of" without any symbols.

I know the answer is 1/sin(x) - sin(x)

But for myself, I'm just wondering.
 
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I don't think there is a symbol for that phrase.
 
Apparently they lack a symbol, that's why the write it out: "In terms of.."
 
You need to make use of identities to convert all functions into equivalent forms using only sin(x). Your exercise problem should already be designed for this to be possible.
Do you have a specific exercise as an example?
 
I pretty much know the answer:

cos(x) / tan(x) in terms of sin(x) = 1/sin(x) - sin(x)

I didn't need help solving it. I just wondered if there was a mathematical construct for in terms of.

symbolipoint said:
You need to make use of identities to convert all functions into equivalent forms using only sin(x). Your exercise problem should already be designed for this to be possible.
Do you have a specific exercise as an example?
 
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