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Question -

f (x) = cot 2x



Answer -

We know that f (x) = cot x is a periodic function with period π.
So, f (x) = cot (2x) is a periodic function with period π. So, we will draw the graph of f (x) = cot (2x) in the interval [0, π]. The values of f (x) = cot (2x) at various points in [0, π] are listed in the following table:

x

0 (A)

π/4 (B)

-π/2 (C)

π/2 (D)

3π/4 (E)

-π (F)

f (x) = cot x

→∞

0

-∞

→∞

0

-∞

The required curve is:

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