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The value of tan^(-1)1/2+tan^(-1)1/3+tan...

The value of `tan^(-1)1/2+tan^(-1)1/3+tan^(-1)7/8` is

A

`tan^(-1) 7/8`

B

`cot^(-1)15`

C

`tan^(-1)15`

D

`tan^(-1) 25/24`

Text Solution

Verified by Experts

The correct Answer is:
C
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The value of tan^(-1)1/3+tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is ……..

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

tan^(-1)2-tan^(-1)1=tan^(-1)(1)/(3)

tan^(-1)1+tan^(-1)2+tan^(-1)3=

tan^(-1)3-tan^(-1)2=tan^(-1)(1/7)