Home
Class 12
MATHS
Find all possible values of x and y for ...

Find all possible values of x and y for which `cos^(-1)sqrtx+cos^(-1)sqrt(1-x)+cos^(-1)sqrt(1-y)=((3pi)/4)`

Text Solution

AI Generated Solution

To solve the equation \[ \cos^{-1}(\sqrt{x}) + \cos^{-1}(\sqrt{1-x}) + \cos^{-1}(\sqrt{1-y}) = \frac{3\pi}{4}, \] we will break it down step by step. ...
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Find the possible values of sin^(-1) (1 - x) + cos^(-1) sqrt(x -2)

cos^(-1)(sqrt((1+cos x)/2))

Find (dy)/(dx) for the function: y=sin^(-1)sqrt((1-x))+cos^(-1)sqrt(x)

Find (dy)/(dx) for the function: y=sin^(-1)sqrt((1-x))+cos^(-1)sqrt(x)

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx

The sum of absolute value of all possible values of x for which cos tan^(-1) sin cot^(-1)x=sqrt(226/227) .

Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))\ dx

Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=pi

If y = cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) , -1/2ltxlt0 , find (dy)/(dx)