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Answer:
We are given the tangent function .
Firstly we know that, , where
is the sine function and
is the cosine function.
Now, tangent function will be zero when its numerator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
So, tangent function crosses x-axis at , n is the set of integers.
Further, tangent function will be undefined when its denominator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
Moreover, a zero in the denominator gives vertical asymptotes.
So, tangent function will have vertical asymptotes at , n is the set of integers.
Therefore, these key features gives us the graph of a tangent function as shown below.
