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

Question

Answer and explanation

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

With \(\frac{3\pi}{2}\), \(\sin \theta\) changes to a cofunction and the sign is negative in the third quadrant. So the answer is \(-\cos \theta\).

What is the correct answer to this question?

-\(\cos \theta\)

Why is this the correct answer?

With \(\frac{3\pi}{2}\), \(\sin \theta\) changes to a cofunction and the sign is negative in the third quadrant. So the answer is \(-\cos \theta\).

Which subject and chapter does this question cover?

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