Prove that 1/2 tan (x/2)+1/4tan(x/4)+ +(1/2n)tan (x/2n)=(1/2n)cot(x/2n) - cotx for all n (- N and 0 x (pi/2) - Maths - Principle of Mathematical Induction

Question

Prove that 1/2 tan
(x/2)+1/4tan(x/4)+
+(1/2n )tan
(x/2n
)=(1/2n
)cot(x/2 n ) - cotx for
all n (- N and 0<x<(pi/2)

Koka Sri Lakshmi Divya Sai · Accepted Answer

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Prove that 1/2 tan (x/2)+1/4tan(x/4)+...+(1/2n )tan (x/2n )=(1/2n )cot(x/2 n ) - cotx for all n (- N and 0<x<(pi/2).