Coaching Centre
Chapter 4: Inverse trigonometric functions Notes
The inverse sine, cosine and tangent functions, their restricted domains, ranges and graphs, exact values, transformations, and the symmetries and identities that link them.
Sections
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4A Defining the inverse trigonometric functions Mastered
Restricting the domains of sine, cosine and tangent, the definitions, domains, ranges and graphs of the inverse sine, cosine and tangent functions, exact values, calculator values in radians, and compositions such as sin of inverse cos.
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4B Graphs and symmetries of inverse trigonometric functions Mastered
Transformations of the inverse trigonometric graphs with their new domains and ranges, the odd symmetry of inverse sine and inverse tangent, the point symmetry of inverse cosine, the identity sin⁻¹x + cos⁻¹x = π/2, and the graph of sin⁻¹(sin x).