6th Maths NCERT Chapter 2

Topics to Study from the Chapter "Inverse Trigonometric Functions":

1. Introduction to Inverse Trigonometric Functions:

– Summary: Study about restrictions on domains and ranges of trigonometric functions to ensure the existence of their inverses and basic properties discussed. Importance in calculus, science, and engineering.

2. Inverse of Sine, Cosine, and Other Trigonometric Functions:

– Summary: Understanding the one-to-one and onto nature of functions like sine, cosine, tangent, cotangent, secant, and cosecant and how to define their inverses based on restricted domains and ranges.

3. Graphical Representations and Principal Value Branches:

– Summary: Exploring the graphical representations of inverse trigonometric functions like sin^-1 and cos^-1, understanding principal value branches, and how the graphs are related through mirror images along the line y=x.

4. Properties of Inverse Trigonometric Functions:

– Summary: Learning essential properties such as sin(sin^-1(x)) = x and sin^-1(sin(x)) = x, and how the graphs of inverse functions are derived from the original functions by interchanging x and y axes.

5. Inverse of Other Trigonometric Functions:

– Summary: Defining the inverses of cosine function, cosecant function, and secant function by restricting their domains and understanding their ranges and principal value branches.