Home
Class 12
MATHS
If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)...

If `sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2` then find the value of `xa n dydot`

Text Solution

AI Generated Solution

To solve the equation \( \sin^{-1}(x^2 - 4x + 5) + \cos^{-1}(y^2 - 2y + 2) = \frac{\pi}{2} \), we can follow these steps: ### Step 1: Use the Identity We know that: \[ \sin^{-1}(a) + \cos^{-1}(a) = \frac{\pi}{2} \] for any \( a \) in the domain of the inverse trigonometric functions. This means: ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If (sin^(-1) x)^2 + (cos^(-1)x)^2 =(5pi^2)/8 then one of the values of x is

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, find the value of x^2+y^2+z^2

If sin^(-1)x+sin^(-1)y=pi/3 and cos^(-1)x-cos^(-1)y=pi/6 , find the values of x and y .

If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2 , then find the value of x^2+y^2+z^2

If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2 , then find the value of x^2+y^2+z^2

If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 , then find the value of x^2+y^2+z^2

If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2pi , then find the value of x^2+y^2+z^2+t^2 .

If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value of x^2+y^2+z^2 .

If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value of x^2+y^2+z^2 .

If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2, find the value of x^2+y^2+z^2dot