Home
Class 12
MATHS
The value of tan [cos^(-1)(4/5)+tan^(-1)...

The value of tan `[cos^(-1)(4/5)+tan^(-1) (2/3)]` is :

A

`6/17`

B

`7/16`

C

`16/7`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE Examinations|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise RCQs Recent Competitive Questions (Questions From Karnataka CET & COMED)|12 Videos

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos

Similar Questions

Explore conceptually related problems

Find the value of tan[cos^(-1) (1/2) + tan^(-1) ( - 1/sqrt3)]

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

Knowledge Check

  • The value of tan (cos ^(-1) (3)/(5)+tan ^(-1) (1)/(4)) is

    A
    `(19)/(8)`
    B
    `(8)/(19)`
    C
    `(19)/(12)`
    D
    `(3)/(4)`

  • The value of cot ("cosec"^(-1) 5/3 +"tan"^(-1) 2/3) is :

    A
    `5/17`
    B
    `6/17`
    C
    `3/17`
    D
    `4/17`

  • The value of sin [cot^(-1) {cos (tan^(-1)x)}] is :

    A
    `(sqrt((1+x^2)/(2+x^2)))`
    B
    `(sqrt((2+x^2)/(1+x^2)))`
    C
    `(sqrt((x^2-2)/(x^2+1)))`
    D
    `(sqrt((x^2-1)/(x^2-2)))`

    • Similar Questions

    Explore conceptually related problems

    Write the principal value of [tan^(-1)(-sqrt3)+tan^(-1)(1)] .

    The value of tan [2 tan ^(-1) (sqrt(5)-1)/(2)]=

    sin ^(-1) (4)/(5)+2 tan ^(-1) (1)/(3)=

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

    The value of tan (2 tan^(-1). (1)/(5) - (pi)/(4) ) is equal to

    Home
    Profile