prove cot20+cot30+cot40 = cot20·cot30·cot40
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SOLUTION
TO DETERMINE
The value of
cot 10° cot 20° cot 30° cot 40° cot 90°
EVALUATION
cot 10° cot 20° cot 30° cot 40° cot 90°
= cot 10° × cot 20° × cot 30° × cot 40° × 0 ( since cot 90° = 0 )
= 0
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