tan Π/10 + tan 3Π/10 + tan 7Π/10 +tan 9Π/10
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Answer:
Step-by-step explanation:
tan 9pi/10 = tan(pi- pi/10) = - tan pi/10
Thus
tan pi/10 + tan 9pi/10 = 0
tan 7pi/10 = tan(pi- 3pi/10) =
= - tan 3pi/10
Thus
tan 3pi/10 + tan 7pi/10 = 0.
Finally
tan pi/10 + tan 3pi/10 + tan 7pi/10 +
+ tan 9pi/10 = 0.
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