If \\alpha and \\beta are roots of equation \frac{3}{4} \sin (\frac{\\theta}{9})=\sin ^{3} \\theta+3 \sin ^{3}(\frac{\\theta}{3}) +9 \sin ^{3}(\frac{\\theta}{9})+{1}/{4 \\sqrt{2} for 0

JEE Advanced 2021 Full Test 3 Paper 1

PART – III

Mathematics

SECTION – A (One Options Correct Type)
This section contains 06 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question : 41 of 54

Marks: +1, -0

If α and β are roots of equation

‌sin(

)=sin3θ+3sin3(

) +9sin3(

4√2

for 0<θ<

, then tan‌α+tan‌β is equal to

2+√3
3+√3
3−√3
2−√3

Validate

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