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If cj >0 for i=1,2, , n , prove that ta...

If `c_j >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))++tan^(-1)1/(c_n)=tan^(-1)x/y`

A

`tan^(-1).(y)/(x)`

B

`tan^(-1)yx`

C

`tan^(-1).(x)/(y)`

D

`tan^(-1)(x-y)`

Text Solution

Verified by Experts

The correct Answer is:
C
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