Question

The set of points of discontinuity of the function \[ f(x) = \sin (2 \sin x) \sin^2 x \] is given by

• A. \( \mathbb{R} \)
• B. \( \left[ \frac{\pi}{3}, \infty \right) \)
• C. \( \mathbb{R} - \left[ \frac{\pi}{6}, \infty \right) \)
• D. None of these

Hint:

The continuity of trigonometric functions means their composition remains continuous unless explicitly defined otherwise.

Answer 1

The Correct Option is D

The function \( f(x) \) is continuous everywhere, as both sine and cosine functions are continuous. Therefore, there are no points of discontinuity.
Final Answer: \[ \boxed{\text{None of these}} \]