Answer:
Option 3. y = csc ∅ is the right answer.
Step-by-step explanation:
In a function y = cosec ∅ we put the value of ∅ at 0,π/4,π/2,π,3π/2.
y = cosec 0 = ∞ Therefore function is not defined at ∅ = 0
y = cosec π/4 = √2 = 1.41
y = cosec π/2 = 1
y = cosec π = ∞ not defined
y = cosec 3π/2 = -1
y = cosec 2π = ∞ again not defined
While analyzing the value of expression we can say that the graph is of y = cosec ∅.
Similarly if we analyze other expressions for the values of ∅ then the graph will not match.
