MHB Is tan(x)^2 proper notation for the trig function tangent squared?

Click For Summary
The discussion centers on the notation for the tangent function squared, specifically comparing tan^2(x) and tan(x)^2. Participants agree that tan^2(x) clearly indicates (tan x)^2, while tan(x)^2 can be ambiguous regarding whether the argument or the function is squared. Some express that tan(x)^2 is acceptable syntax, particularly in calculators, but prefer clearer expressions like tan(x) * tan(x). The inclusion of parentheses in tan(x)^2 helps clarify the expression's meaning. Overall, clarity in mathematical notation is emphasized as crucial for understanding.
xyz_1965
Messages
73
Reaction score
0
Is tan^2 (x) the same as tan(x)^2?

Note: I could have used any trig function.

I know that tan^2 (x) means (tan x)^2.
What does tan (x)^2 mean? Is it proper notation?
 
Mathematics news on Phys.org
I don't consider $$\tan(x)^2$$ to be proper notation. It is unclear whether the argument or the function is being squared.
 
MarkFL said:
I don't consider $$\tan(x)^2$$ to be proper notation. It is unclear whether the argument or the function is being squared.

I concur.
 
$\tan(x)^2$ is an acceptable form of syntax for $\tan^2{x}$ used in many calculators.
 
Personally I would like to see [math]tan(x)^2 = tan(x) \cdot tan(x)[/math]. My problem isn't with the 2 but with a -1. [math]f^{-1}(x)[/math] may be equally considered to be [math]\dfrac{1}{f(x)}[/math] or the inverse function of f(x).

So long as the parenthesis are included in [math]tan(x)^2[/math] I have no problem with the expression.

-Dan
 

Similar threads

  • · Replies 28 ·
Replies
28
Views
3K
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K