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Find the value of : TanA + tan^2A + tan^3A + ..........+ tan^nA

Find the  value of :
 
TanA + tan^2A + tan^3A + ..........+ tan^nA

Grade:10

1 Answers

Aman
24 Points
4 years ago
Interestingly,the above sequence is a G.P. with common ratio=TanA and first term=TanA
For a G.P :a,ar,ar^2,ar^3.....,ar^n.
The sum is :a{(r^n-1)/(r-1)}.
 So,the sum of an G.P with n terms is: TanA{(Tan^nA-1)/(TanA-1)}
 

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