If ⁻¹ x + ⁻¹ y = 2 , then x^2 is equal to

Step-by-step solution

Given ⁻¹ x + ⁻¹ y = 2 ⁻¹ x = 2 - ⁻¹ y Using the inverse trigonometric identity ⁻¹ y + ⁻¹ y = 2 , we get: ⁻¹ x = ⁻¹ y Taking sine on both sides: x = ( ⁻¹ y) Since ( ⁻¹ y) = 1 - y^2 , we have: x = 1 - y^2 Squaring both sides: x^2 = 1 - y^2 Answer: 1 - y^2