Q.

The value of tan 5θ, is 

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a

5tanθ+10tan3θtan5θ1+10tan2θ5tan4θ

b

none of these

c

5tanθ10tan3θ+tan5θ110tan2θ+5tan4θ

d

5tan5θ10tan3θ+tanθ110tan2θ+5tan4θ

answer is A.

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Detailed Solution

We have,

tanθ1+θ2++θn=S1S3+S5S7+1S2+S4S6+ tan5θ= 5C1tanθ5C3tan3θ+5C5tan5θ15C2tan2θ+5C4tan4θ

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