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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesHardLevel 70

At which values is (\tan x) not defined?

Answer and explanation

Correct answer: (x=\frac{\pi}{2}+n\pi)

Since (\tan x=\frac{\sin x}{\cos x}), it is undefined when (\cos x=0). Thus (x=\frac{\pi}{2}+n\pi).

Tags

trigonometric-functionsdomaintangent

Frequently asked questions

What is the correct answer to this question?

(x=\frac{\pi}{2}+n\pi)

Why is this the correct answer?

Since (\tan x=\frac{\sin x}{\cos x}), it is undefined when (\cos x=0). Thus (x=\frac{\pi}{2}+n\pi).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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