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Question -

f (x) = 3 sec x



Answer -

We know that f (x) = sec x is a periodic function with period π.
So, f (x) = 3 sec (x) is a periodic function with period π. So, we will draw the graph of f (x) = 3 sec (x) in the interval [0, π]. The values of f (x) = 3 sec (x) at various 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)

2π (G)

5π/2 (H)

f (x) = sec x

3

-∞

-3

-∞

3

The required curve is:

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