Some of the
main topics for Mathematics chapter Inverse Trigonometric Functions (Class
12) along with their details are:
1. Inverse Trigonometric
Functions:
(i) Trigonometric
Equations, (ii) Domain and Range of Inverse Trigonometric Functions, (iii)
Graphs of Inverse Trigonometric Functions
2. Properties of Inverse
Trigonometric Functions:
(i) Trigonometric
Identities using Inverse Trigonometric Functions, (ii) Derivatives of Inverse
Trigonometric Functions
3. Differentiation of Inverse
Trigonometric Functions:
(i) Differentiating
arcsin x, arccos x, and arctan x, (ii) Derivation of Formulas
4. Integration of Inverse
Trigonometric Functions:
(i) Integration of
arcsin x, arccos x, and arctan x, (ii) Derivation of Formulas
5. Solving Equations using Inverse
Trigonometric Functions:
(i) Solving
trigonometric equations using inverse trigonometric functions, (ii) Derivation
of Formulas
6. Application of Inverse
Trigonometric Functions:
(i) Finding angles and
lengths in triangles, (ii) Finding the area of a triangle using the sine
formula, (iii) Finding the height of a tree or a building, (iv) Finding the
distance between two objects
7. Summary of Topics:
(i) Recapitulation of
concepts, (ii) Important Formulas for Inverse Trigonometric Functions.
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