Prove the following: tan^(-1)(1/4)+t...

Prove the following: `tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)`

A

`(1)/(2) cos^(-1)((3)/(5))`

B

`(1)/(2) sin^(-1)((3)/(5))`

C

`(1)/(2) tan^(-1)((3)/(5))`

D

`tan^(-1)((1)/(2))`

Verified by Experts

The correct Answer is:

D

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