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Find the sum n terms of seires tan theta...

Find the sum n terms of seires `tan theta+1/2tantheta/2+1/(2^2)tantheta/(2^2)+1/(2^3)tantheta/(2^3)+....`

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Find the sum n terms of seires tan theta+1/2tan(theta/2 )+1/(2^2)tan(theta/(2^2))+1/(2^3)tan(theta/(2^3))+....

Find the sum tantheta+1/2tantheta/2+1/(2^2)tantheta/(2^2)+1/(2^3)tantheta/(2^3)+oo and hence the sum of the series 1//2^2tanpi/(2^2)+1//2^3tanpi/(2^3)+1/(2^4)tanpi/(2^4)+oo

tan3theta + tantheta = 2tan 2theta

sin^(3)theta = tan2theta + tantheta

tan 3theta = tan 2theta + tantheta

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sin2 theta tantheta+1= sin 2theta + tantheta

Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

tantheta+tan2theta=tan3theta