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Question

The value of cot10°(cot40°cot50°) is equal to

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is C 2
cot10°(cot40°cot50°)=cot(50°40°)(cot40°cot50°)=(cot50°cot40°+1cot40°cot50°)(cot40°cot50°)=cot50°tan(90°40°)+1=2

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