Question

Write domain and range of trigonometric function,tan x.​

Answer 1

Answer:

the domain of f(x) = tan x will be R –

(2n+1)pi / 2

and the range will be set of all real numbers, R.

Step-by-step explanation:

We know, tan x = sin x / cos x. It means that tan x will be defined for all values except the values that will make cos x = 0, because a fraction with denominator 0 is not defined.

cosx = 0 A x e (2n+1)pi / 2, where n belongs to Z

Hence, for these values, tan x is not defined.

So, the domain of f(x) = tan x will be R –

(2n+1)pi / 2

and the range will be set of all real numbers, R.

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