For suitable values of domain, we have
® y = sin–1 x ⇒ x = sin y
® x = sin y  ⇒ y = sin–1 x
® sin (sin–1 x) = x
® sin–1 (sin x) = x
Rationalised 2023-24
INVERSE TRIGONOMETRIC FUNCTIONS     33
Historical Note
The study of trigonometry was first started in India The ancient Indian
Mathematicians, Aryabhata (476A D ), Brahmagupta (598 A