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a
2
b
3
c
4
d
none of these
answer is C.
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Detailed Solution
We have tan9∘−tan27∘−tan63∘+tan81∘=tan9∘+tan81∘−tan27∘+tan63∘=1cos9∘cos81∘−1cos27∘cos63∘=1sin9∘cos9∘−1sin27∘cos27∘=2sin18∘−2sin54∘=2sin54∘−sin18∘sin54∘sin18∘=22cos36∘sin18∘sin18∘cos36∘=4