Home
Class 12
MATHS
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))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

  • JEE MAIN - 5

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

Prove the following: 4\ tan^(-1)(1/5)-tan^(-1)(1/(239))=pi/4

Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)

Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt(5))

Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5) .

Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/4

Prove that : tan^(-1).(1)/(4)+tan^(-1).(2)/(9)=(1)/(2)sin^(-1).(4)/(5)