What is the value of (\tan 0)?
Answer and explanation
Correct answer: 0
Using \(\tan \theta=\frac{\sin \theta}{\cos \theta}\), we get \(\tan 0=\frac{\sin 0}{\cos 0}=\frac{0}{1}=0\). Hence, 0 is the correct option. It is not undefined because \(\cos 0=1\), not zero. Exam tip: \(\tan \theta\) is undefined only when \(\cos \theta=0\).
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
Using \(\tan \theta=\frac{\sin \theta}{\cos \theta}\), we get \(\tan 0=\frac{\sin 0}{\cos 0}=\frac{0}{1}=0\). Hence, 0 is the correct option. It is not undefined because \(\cos 0=1\), not zero. Exam tip: \(\tan \theta\) is undefined only when \(\cos \theta=0\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.