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The value of cot5°. cot15°. cot25°. cot45°. cot65°. cot75°. cot85° is: |
1 \(\sqrt {3}\) \(\frac{1}{\sqrt {3 }}\) \(\frac{1}{\sqrt {2 }}\) |
1 |
⇒ cot5°. cot15°. cot25°. cot45°. cot65°. cot75°. cot85° = (cot 5° cot 85°) (cot 15° cot 75°) (cot 25° cot 65°) cot 45° [ cot A.cot B = 1, when A + B = 90°] = 1 × 1 × 1 × cot45° = 1 |
