If cot 2 \theta - 3\sqrt{3} cot \theta + 6 = 0,where \frac{\pi }{6} < \theta < \frac{\pi }{2} , then what is a value of sin \theta + cos 2\theta ?

UPSC CDS I 2025 Mathematics Paper

Question : 28 of 100

Marks: +1, -0

If cot²θ - 3√3 cot θ + 6 = 0,where ‌

< θ < ‌

, then what is a value of sin θ + cos 2θ ?

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