Is sin^2x and (sinx)^2 the same?

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Homework Help Overview

The discussion revolves around the notation of trigonometric functions, specifically the equivalence of sin^2x and (sinx)^2 in the context of calculus. Participants are exploring how these notations are interpreted and their implications in mathematical expressions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the equivalence of different notations for the sine function, particularly focusing on whether sin^2x is the same as (sinx)^2. There is also a discussion about the importance of parentheses in mathematical expressions.

Discussion Status

Some participants have confirmed the equivalence of the two notations, while others have introduced additional related concepts, such as the interpretation of sin x^2. The discussion appears to be productive, with participants engaging in clarifying the meanings of various expressions.

Contextual Notes

There is an emphasis on the potential confusion arising from the use of parentheses in mathematical notation, indicating a need for clarity in understanding how different expressions are constructed.

gr3g1
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In my calculus class, my teacher is using sin^2x

I never saw anything like that.. Is it the same as (sinx)^2?

Thanks
 
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If you mean

[tex]\sin^{2} x = (\sin x)^{2}[/tex]

yes it's the same!
 
Ok, thanks a lot!

So, sin^2(x) = (sinx)^2 = sinx*sinx?
 
Yes!

I have to extend the message.
 
And in case you wonder why he would use that notation, tell me what this means:

[tex]\sin x^2[/tex]

Some people never really appreciate the usefullness of parantheses.
 
The angle is squared
 
gr3g1 said:
The angle is squared
:biggrin:
True, [tex]\sin x ^ 2 = \sin (x^2)[/tex]
and
[tex]\sin ^2 x = \left( {\sin x} \right)^2[/tex]
 

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