Inverse Trigonometric Functions

Inverse Trigonometric Functions

y=sin⁻¹ x⇒ x= sin y

y=sin y ⇒ x= sin⁻¹ y

sin(sin⁻¹ x) = x

sin⁻¹ (sin x) = x

sin⁻¹ ⅟𝖝 = cosec⁻¹ x

cos⁻¹(-x) = 𝛑 - cos⁻¹x

cos⁻¹  ⅟𝖝 = sec⁻¹x

cot⁻¹ (-x) = 𝛑 - cot⁻¹ x

tan⁻¹  ⅟𝖝 = cot⁻¹ x

sec⁻¹(-x) =  𝛑 - sec⁻¹ x

sin⁻¹ (-x) = -sin⁻¹x

tan⁻¹(-x) = -tan⁻¹x