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

Question

Answer and explanation

Correct answer: -\(\sin \theta\)

With \(\frac{3\pi}{2}\), \(\cos \theta\) changes to the cofunction \(\sin \theta\). In the third quadrant, \(\cos \theta\) is negative.

What is the correct answer to this question?

-\(\sin \theta\)

Why is this the correct answer?

With \(\frac{3\pi}{2}\), \(\cos \theta\) changes to the cofunction \(\sin \theta\). In the third quadrant, \(\cos \theta\) is negative.

Which subject and chapter does this question cover?

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