Let's say that I have to write this statement :
$\tan(-x)$ is equal to $(-\tan x)$ which is not equal to $\tan x$
How do I write this symbolically in one statement?
What about : $\Big (\tan (-x)=(-\tan x) \Big ) \neq \tan x$ ?
Thanks
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Rajdeep Sindhu
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2or $\tan(-x)=-\tan( x)\ne\tan x$ – J. W. Tanner May 15 '20 at 18:16
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4You don’t need most of the parentheses: $$\tan(-x)=-\tan x\ne\tan x$$ is fine. – Brian M. Scott May 15 '20 at 18:16
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Actually with those brackets the statement is incorrect. On the LHS you have an equation, on the RHS you have a function. – Crostul May 15 '20 at 18:18
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Got it, thanks everybody – Rajdeep Sindhu May 15 '20 at 18:20
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@Crostul And, if I have a statement which states that $-\tan x$ is not equal to $\tan x$ which is equal to $\tan (\pi + x)$, how do I write it? – Rajdeep Sindhu May 15 '20 at 18:22
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The same way? $-\tan x \neq \tan x = \tan (\pi + x)$ ? – Rajdeep Sindhu May 15 '20 at 18:23
1 Answers
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The most correct and proper way to write this is
$$\tan(-x) = - \tan x \text{ and } {- \tan x} \ne \tan x.$$
Or, if you really want to write it using only symbols, it's also completely correct to write it as
$$\tan(-x) = - \tan x \quad \land \quad {- \tan x} \ne \tan x.$$
If you want to abbreviate this, it's also acceptable to write it as
$$\tan(-x) = - \tan x \ne \tan x.$$
Tanner Swett
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