If \sin ^{2} x \tan x+\cos ^{2} \cot x-\sin 2 x =1+\tan x+\cot x, x \\in(0, \\pi), then x

Correct Answer is : 7π12,11π12

\frac{3 \\pi}{12}, \frac{5 \\pi}{12}

\frac{5 \\pi}{12}, \frac{7 \\pi}{12}

\frac{7 \\pi}{12}, \frac{11 \\pi}{12}

\frac{7 \\pi}{12}, \frac{9 \\pi}{12}

UPSC NDA Math Model Paper 2

Question : 56 of 120

Marks: +1, -0

If sin2x‌tan‌x+cos2‌cot‌x−sin‌2‌x =1+tan‌x+cot‌x,x∈(0,π), then x

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