[(-1+ cot 23°)(-1+ cot 22°)(-1+ cot 29°)(-1+ cot . .16°) ] is equal to

Question

[(-1+ cot 23°)(-1+ cot 22°)(-1+ cot 29°)(-1+ cot . .16°) ] is equal to (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

if A+B=45°, then ( cot B-1)( cot A-1)=2

Q. $[(- 1 + cot 2 3^{\circ}) (- 1 + cot 2 2^{\circ}) (- 1 + cot 2 9^{\circ}) (- 1 + cot$ $1 6^{\circ})$ ] is equal to