Home
Class 11
MATHS
Let a=cos^(-1)cos20, b=cos^(-1)cos30, c=...

Let `a=cos^(-1)cos20, b=cos^(-1)cos30, c=sin^(-1)sin(a+b)` then
If `5sec^(-1)x+10sin^(-1)y=10(a+b+c)` then the value of `tan^(-1)x+cos^(-1)(y-1)` is

A

`(pi)/2`

B

`(pi)/4`

C

`pi`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)|2 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

Let a=cos^(-1)cos20,b=cos^(-1)cos30,c=sin^(-1)sin(a+b) then The largest integer x for which sin^(-1)(sinx)ge|x-(a+b+c)| is

The value of Sin^(-1)(sin12)+Cos^(-1)(cos12)=

Sin^(-1)(2cos^(2)x-1)+Cos^(-1)(1-2sin^(2)x)=

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then

If 0 lt cos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…infty=2 , then the value of 12x is

If sin^(-1)(cos^(-1)x)lt1 and cos^(-1)(cos^(-1)x)lt1 then x in

AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)
  1. Let a=cos^(-1)cos20,b=cos^(-1)cos30,c=sin^(-1)sin(a+b) then The larg...

    Text Solution

    |

  2. Let a=cos^(-1)cos20, b=cos^(-1)cos30, c=sin^(-1)sin(a+b) then If 5se...

    Text Solution

    |