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

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SUMMARY

The discussion confirms that sin^2(x) and (sin x)^2 are equivalent expressions in trigonometry, both representing the square of the sine function. Participants clarify that sin^2(x) is a shorthand notation for (sin x)², which simplifies to sin x * sin x. Additionally, the notation sin x² is explained as sin(x²), indicating that the angle x is squared rather than the sine function itself.

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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

\sin^{2} x = (\sin x)^{2}

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:

\sin x^2

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

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