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Question

cos(2(tan115+tan15))= ______.

A
12
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B
0
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C
1
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D
1
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Solution

The correct option is D 1
We know that tan1a+tan1b=tan1(a+b1ab)
tan115+tan15=tan115+5115×5=tan1(260)=tan1=π2
cos(2(tan115+tan15))=cos(2×π2)=cosπ=1
Hence, cos(2(tan115+tan15))=1

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