Which of the following represents the domain and range of y = cot x?

option  4 is right

Step-by-step explanation:

Consider the trignometric function y =cotx

Since cot x has sin x in denominator, cot x is undefined whenever sinx =0

OR whenever x =n π, for any integer n, cot x is undefined

Hence domain =(-∞,∞) ,x≠nπ

Range = -∞<y<∞

since cotx can take any real values

The graph y=cotx will be a periodic function discontinuous at all integral multiples of pi and undefined for integral multiples of pi.

It is not defined for x=0 also

It passes through (pi/4,1) (npi/2,0)

i.e. x intercepts are odd multiples of pi/2

and it takes value 1 for pi/4, 5pi/4,

step-by-step explanation:

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