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Question

Choose the correct answer from the alternatives given.
The value of cot 15cot16cot17....cot74cot75 is

A
0
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B
1
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C
1
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D
12
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Solution

The correct option is B 1
Given

cot15cot16cotcot74cot75

cot15cot16cottan16tan15

(cot15tan15)(cot16tan16)cot45

(1)(1)(1)(1)

1


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