Home
Class 12
MATHS
tan^(-1)(cotx)+cot^(-1)(tanx) = (0ltxl...

`tan^(-1)(cotx)+cot^(-1)(tanx)` = ______ `(0ltxltpi/2)`

A

`pi-x`

B

2x

C

`pi-2x`

D

`-2x`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS -SHORT ANSWER TYPE QUESTIONS|11 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - LONG ANSWER TYPE QUESTIONS|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 2|17 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

Similar Questions

Explore conceptually related problems

sec^(2)(tan^(-1)3)+cosec^(2)(cot^(-1)3) = ____

If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5 pi^2) /8 find x.

Knowledge Check

  • tan^(-1)(cot x)+ cot^(-1) (tan x)= ____(where, 0 lt x lt (pi)/(2) )

    A
    `(pi)/(2)`
    B
    2x
    C
    `pi-2x`
    D
    `pi-x`
  • tan^(-1)(1)+tan^(-1)(2)+tan^(-1)(3) = _______

    A
    `pi`
    B
    `(5pi)/4`
    C
    `pi/2`
    D
    None of these
  • sec^(2)(tan^(-1)4)+cosec^(2)(cot^(-1)5) = ________

    A
    41
    B
    43
    C
    45
    D
    47
  • Similar Questions

    Explore conceptually related problems

    The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+(x)/(2))-2cot^(-1)x+2(1+(pi)/(2))gtlim_(yrarr-oo)[sec^(-1)y-(pi)/(2)] is (where [ . ]denotes the G.I.F.)

    cosec[tan^(-1)(cos(cot^(-1)(sec(sin^(-1)a))))] = ______

    intx^(51)(tan^(-1)x+cot^(-1)x)dx=...

    tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) is equal to

    If 3tan^(-1)x+cot^(-1)x=pi , then x equals to ______