For which of the following angles is \(\tan \theta\) undefined?
Answer and explanation
Correct answer: \(\frac{\pi}{2}+n\pi\), जहाँ \(n\) पूर्णांक है
\(\tan\theta=\frac{\sin\theta}{\cos\theta}\). It is undefined when its denominator, \(\cos\theta\), is zero. Since \(\cos\theta=0\) at \(\theta=\frac{\pi}{2}+n\pi\), where \(n\) is an integer, option B is correct. At \(n\pi\), \(\tan\theta=0\), and it is defined at \(\frac{\pi}{4}+n\pi\) and \(\frac{\pi}{3}+n\pi\). Exam tip: for tangent, first check where \(\cos\theta=0\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{\pi}{2}+n\pi\), जहाँ \(n\) पूर्णांक है
Why is this the correct answer?
\(\tan\theta=\frac{\sin\theta}{\cos\theta}\). It is undefined when its denominator, \(\cos\theta\), is zero. Since \(\cos\theta=0\) at \(\theta=\frac{\pi}{2}+n\pi\), where \(n\) is an integer, option B is correct. At \(n\pi\), \(\tan\theta=0\), and it is defined at \(\frac{\pi}{4}+n\pi\) and \(\frac{\pi}{3}+n\pi\). Exam tip: for tangent, first check where \(\cos\theta=0\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
