The value of \tan 1^{\circ} \tan 2^{\circ}+\tan 2^{\circ} \tan 3^{\circ}+. . . . . .+\tan 88^{\circ} \tan 89^{\circ} is equal to \cot ^{2} 1^{\circ}-n, where n is a two digit number ab, then the value of b-a is _______

JEE Advanced 2020 Full Test 2 Paper 1

Question : 53 of 54

Marks: +1, -0

The value of tan‌1∘‌tan‌2∘+tan‌2∘‌tan‌3∘+......+tan‌88∘‌tan‌89∘ is equal to cot21∘−n, where n is a two digit number ab, then the value of b−a is _______

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