Which trigonometric function is undefined at \\(x=\frac{\pi}{2}+n\pi\\), where \\(n\\) is an integer?
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Answer and explanation
Correct answer: \\(\tan x\\)
\\(\tan x=\frac{\sin x}{\cos x}\\). At \\(x=\frac{\pi}{2}+n\pi\\), \\(\cos x=0\\), so division by zero makes \\(\tan x\\) undefined. Exam tip: for a quotient function, first check where its denominator is zero.
Frequently asked questions
What is the correct answer to this question?
\\(\tan x\\)
Why is this the correct answer?
\\(\tan x=\frac{\sin x}{\cos x}\\). At \\(x=\frac{\pi}{2}+n\pi\\), \\(\cos x=0\\), so division by zero makes \\(\tan x\\) undefined. Exam tip: for a quotient function, first check where its denominator is zero.
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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