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Trigonometric Functions

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xyz_1965

Member
Jul 26, 2020
81
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?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
I don't consider \(\displaystyle \tan(x)^2\) to be proper notation. It is unclear whether the argument or the function is being squared.
 
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xyz_1965

Member
Jul 26, 2020
81
I don't consider \(\displaystyle \tan(x)^2\) to be proper notation. It is unclear whether the argument or the function is being squared.
I concur.
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
745
$\tan(x)^2$ is an acceptable form of syntax for $\tan^2{x}$ used in many calculators.
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,140
Personally I would like to see \(\displaystyle tan(x)^2 = tan(x) \cdot tan(x)\). My problem isn't with the 2 but with a -1. \(\displaystyle f^{-1}(x)\) may be equally considered to be \(\displaystyle \dfrac{1}{f(x)}\) or the inverse function of f(x).

So long as the parenthesis are included in \(\displaystyle tan(x)^2\) I have no problem with the expression.

-Dan