(1 - cot²60°)/(1 + cot²60°) = কত?

প্রশ্ন: (1 - cot²60°)/(1 + cot²60°) = কত?

সমাধান:
(1 - cot²60°)/(1 + cot²60°)
= {1 - (1/√3)²}/(1 + (1/√3)²}) [∴ cot60° = 1/√3​]
= {1 - (1/3)}/{1 + (1/3)}
= (3 - 1)/(3 + 1)
= 2/4
= 1/2