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

  • Thread starter gr3g1
  • Start date
In summary, sin^2x and (sinx)^2 are two different notations for the same mathematical expression, the square of the sine function. The notation sin^2x is often used for simplicity, while (sinx)^2 is more commonly used in formal mathematical writing. There are no differences in the values of sin^2x and (sinx)^2, and you can use either notation interchangeably in equations. There is no preferred notation, but (sinx)^2 is more commonly used in formal writing and textbooks.
  • #1
gr3g1
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0
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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  • #2
If you mean

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

yes it's the same!
 
  • #3
Ok, thanks a lot!

So, sin^2(x) = (sinx)^2 = sinx*sinx?
 
  • #4
Yes!

I have to extend the message.
 
  • #5
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.
 
  • #6
The angle is squared
 
  • #7
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]
 

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

1. Is sin^2x the same as (sinx)^2?

Yes, sin^2x and (sinx)^2 are equivalent notations for the same mathematical expression, which is the square of the sine function.

2. Why are there two different notations for the same expression?

The notation sin^2x is often used to save space and simplify notation, while (sinx)^2 is more commonly used in textbooks and mathematical equations.

3. Are there any differences in the values of sin^2x and (sinx)^2?

No, the values of sin^2x and (sinx)^2 are always equivalent for any given angle x.

4. Can I use either notation interchangeably in equations?

Yes, you can use either notation interchangeably in mathematical equations as they represent the same expression.

5. Is there a preferred notation for sin^2x and (sinx)^2?

It ultimately depends on personal preference and the context of the equation or problem. However, (sinx)^2 is more commonly used in formal mathematical writing and textbooks.

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