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Question -

f (x) = tan2 x



Answer -

We know that f (x) = tan x is a periodic function withperiod π.

So, f (x) = tan2 (x) is a periodicfunction with period π. So, we will draw the graph of f (x) = tan2 (x)in the interval [0, π]. The values of f (x) = tan2 (x) atvarious points in [0, π] are listed in the following table:

x

0 (A)

π/2 (B)

π/2 (C)

π (D)

3π/2 (E)

3π/2 (F)

2 π

f (x) = tan2 (x)

0

→∞

0

→∞

0

The required curve is:

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