If ci >0 for i=1,\ 2,\ ,\ n , prove th...

If `c_i >0` for `i=1,\ 2,\ ,\ n` , prove that `tan^(-1)((c_1x-y)/(c_1y+x))+tan^(-1)((c_2-c_1)/(1+c_2c_1))+tan^(-1)((c_3-c_2)/(1+c_3c_2))+\ dot+tan^(-1)1/(c_n)=tan^(-1)x/y`

A

`tan^(-1) y/x`

B

`tan^(-1)xy`

C

`tan^(-1)x/y`

D

none

Text Solution

Verified by Experts

The correct Answer is:

C

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