Relation f⁻¹(x) with f⁻¹(-x) – Theorems
Relation f⁻¹(x) with f⁻¹(-x) – Theorems Theorem: . Proof: , Let sin⁻¹(-x) = θ . . . (1) -x = sinθ x = -sinθ x = sin(-θ) we know that x ϵ [-1, 1] and , -θ =sin⁻¹(x) . . . (2) From equation (1) and (2) sin⁻¹(-x) = θ -θ =sin⁻¹(x) ⇒ θ = Read more about Relation f⁻¹(x) with f⁻¹(-x) – Theorems[…]