If tan(x)=4 then tan(pi+x)=?
\(\tan x=4 \Rightarrow \tan(\pi +x)=4\)
because
\(\tan x= \tan (x+n\pi),\, n\in\mathbb{Z}\)
The value of the periodic triogonometric function which is tan (π + x) using the value of tan x = 4 gives us; tan (π + x) = 4
We are given the trigonometric function;
tan(x) = 4
Now, we want to find tan(π + x).
Now, tan (π + x) is periodic and as such we can say that;
tan x = tan (x + nπ)
Where n belongs to a set of all integers. Thus, we can conclude that;
tan (π + x) = tan x = 4
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