Question:
The set of points of discontinuity of the function
\[
f(x) = \sin (2 \sin x) \sin^2 x
\]
is given by
The set of points of discontinuity of the function
\[
f(x) = \sin (2 \sin x) \sin^2 x
\]
is given by
Show Hint
The continuity of trigonometric functions means their composition remains continuous unless explicitly defined otherwise.
Updated On: Jan 12, 2026
- \( \mathbb{R} \)
- \( \left[ \frac{\pi}{3}, \infty \right) \)
- \( \mathbb{R} - \left[ \frac{\pi}{6}, \infty \right) \)
- None of these
Show Solution
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The Correct Option is D
Solution and Explanation
The function \( f(x) \) is continuous everywhere, as both sine and cosine functions are continuous. Therefore, there are no points of discontinuity.
Final Answer: \[ \boxed{\text{None of these}} \]
Final Answer: \[ \boxed{\text{None of these}} \]
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