Home
Class 11
MATHS
The value of cot("Cosec"^(-1)5/3+"Tan"^(...

The value of `cot("Cosec"^(-1)5/3+"Tan"^(-1)2/3)` is

A

`16/17`

B

`3/17`

C

`4/17`

D

`5/17`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I DOMAIN, RANGE, PRINCIPAL VALUES, BASIC PROPERTIES) (INTEGER TYPE QUESTIONS)|5 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Find the value of cosec h^(-1)(-3)

Find the values of (ii) tan (cosec^(-1) "" (65)/(63) )

Knowledge Check

  • I. The value of sec^(2)(Tan^(-1)2)+cosec^(2)(Cot^(-1)3) is 10 II. The value of tan{Sin^(-1)(3/5)+Cot^(-1)(3/2)} is 16/7

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

    A
    `cot^(-1)x`
    B
    `cot^(-1)""1/x`
    C
    `tan^(-1)x`
    D
    none of these

  • The value of alpha^(3)/2cosec^(2)(1/2tan^(-1)""alpha/beta)+beta^(3)/2sec^(2)(1/2tan^(-1)(beta/alpha)) is equal to

    A
    `(alpha-beta)(alpha^(2)+beta^(2))`
    B
    `(alpha-beta)(alpha^(2)+beta^(2))`
    C
    `(alpha+beta)(alpha^(2)+beta^(2))`
    D
    `(alpha-beta)(alpha^(2)-beta^(2))`

    • Similar Questions

    Explore conceptually related problems

    Find the values of the following: tan("Cosec"^(-1)13/12)

    Find the value of cot^(-1)"" (1)/(2) + cot^(-1)"" (1)/(3)

    Find the values of the following tan("cosec"^(-1)65/63)

    If the roots of the equation x^(3)-10x+11=0 are u, v, and w, then the value of 3cosec^(2)(tan^(-1)u+tan^(-1)v+tan^(-1)w) is

    Find the values of the following (iv) sec^(2) (cot^(-1) 3) + cosec^(2) (tan^(-1) 2)

    Home
    Profile