Maths 1

Relation f⁻¹(x) with f⁻¹(1/x) – 2

Relation f⁻¹(x) with f⁻¹(1/x) – 2 Theorem: cos⁻¹(1/x) = sec⁻¹(x), for all Proof: cos⁻¹(1/x) = sec⁻¹(x) Let sec⁻¹(x) = θ Where θ ϵ [0, π] –{0} and x = secθ 1/x = 1/ secθ 1/x = cosθ θ = cos⁻¹(1/x) sec⁻¹(x) = θ sec⁻¹(x) = cos⁻¹(1/x) cos⁻¹(1/x) = sec⁻¹(x), for all Hence proved Theorem: Proof: Read more about Relation f⁻¹(x) with f⁻¹(1/x) – 2[…]