Question

If y = √(1 - x²) + x√(1 - y²) = 1, prove that dy/dx = \(\sqrt{\frac{1 - y^2}{1 - x^2}}\)

Answer 1

Given as y = √(1 - x²) + x√(1 - y²) = 1

Suppose x = sin A and y = sin B

Now, the equation became

On applying the identity,

On substituting the value of A and B,

Differentiating with respect to x,

Comments

The person who gave answer to this question, Bravo!