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Question

In a ABC, the value of 1tanB2tanC2=2aa+b+c is equal to

A
2aa+b+c
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B
2a+b+c
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C
2aab+c
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D
None of these
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Solution

The correct option is B 2aa+b+c
Now, 1tanB2tanC2
=1(sa)(sc)s(sb)×(sa)(sb)s(sc)
Therefore, [1(sa)s]=2aa+b+c ....(From given)

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