The value of cot15° cot 10° cot 80° cot 75° cot 45° is
Answer & explanation
Correct answer: option 4
Formula used :-
cotA . cotB = 1 iff A + B = 90º
cot15° cot 10° cot 80° cot 75° cot 45°
= (cot15° cot 75°).( cot 10° cot 80°). cot 45°
= 1. 1. 1
= 1
The correct answer is option (4) : 1