Question -
Answer -
We know that f (x) = cosec x is a periodic function with period 2π.
So, f (x) = 2 cosec (πx) is a periodic function with period 2. So, we will draw the graph of f (x) = 2 cosec (πx) in the interval [0, 2]. The values of f (x) = 2 cosec (πx) at various points in [0, 2] are listed in the following table:
| x | 0 (A) | 1/2 (B) | 1 (C) | -1 (D) | 3/2 (E) | -2 (F) | 2 (G) | 5/2 (H) |
| f (x) = 2 cosec (πx) | ∞ | 2 | ∞ | -∞ | -2 | -∞ | ∞ | 2 |
The required curve is:
