What is \(\tan\left(\frac{3\pi}{2}-\theta\right)\) equal to?

Question

Answer and explanation

Correct answer: \(\cot \theta\)

With \(\frac{3\pi}{2}\), \(\tan \theta\) changes to \(\cot \theta\). In the third quadrant, \(\tan \theta\) is positive.

What is the correct answer to this question?

\(\cot \theta\)

Why is this the correct answer?

With \(\frac{3\pi}{2}\), \(\tan \theta\) changes to \(\cot \theta\). In the third quadrant, \(\tan \theta\) is positive.

Which subject and chapter does this question cover?

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