Home
Class 11
MATHS
1/3gt0,3/4gt0impliestan^(-1)(1/3)-tan^(-...

`1/3gt0,3/4gt0impliestan^(-1)(1/3)-tan^(-1)(3/4)`
`=tan^(-1)((1/3-3/4)/(1+1/3 . 3/4))=tan^(-1)((-5)/15)=tan^(-1)(1/3)`
`=-tan^(-1)(1/3)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|25 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|1 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

5/3gt0,1/4gt0impliestan^(-1)(5/3)-tan^(-1)(1//4) =tan^(-1)((5/3-1/4)/(1+5/3. 1/4))=tan^(-1)(1)=(pi)/4

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

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

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

2Tan^(-1)(3//4)=

tan h^(-1) ((1)/(3))

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

1/2gt0,1/3gt0 and (1/2)(1/3)lt1 impliestan^(-1)(1/2)+tan^(-1)(1/3) ="tan"^(-1)(1/2+1/3)/(1-1/2 1/3)=tan^(-1)(1)=(pi)/4

Tan^(-1)(1/3)+Tan^(-1)(2/9)+Tan^(-1)(4/33)+…… infty