Inverse trigonometric functions are functions that "undo" the effect of trigonometric functions. They are used to find the angle whose trigonometric ratio is given.

The six inverse trigonometric functions are:

1. arcsin(x) or sin^(-1)(x): It gives the angle whose sine is x.
Domain: -1 ≤ x ≤ 1
Range: -π/2 ≤ arcsin(x) ≤ π/2

2. arccos(x) or cos^(-1)(x): It gives the angle whose cosine is x.
Domain: -1 ≤ x ≤ 1
Range: 0 ≤ arccos(x) ≤ π

3. arctan(x) or tan^(-1)(x): It gives the angle whose tangent is x.
Domain: -∞ ≤ x ≤ ∞
Range: -π/2 < arctan(x)="" />< />

4. arccsc(x) or csc^(-1)(x): It gives the angle whose cosecant is x.
Domain: x ≤ -1 or x ≥ 1
Range: -π/2 ≤ arccsc(x) ≤ π/2, excluding 0

5. arcsec(x) or sec^(-1)(x): It gives the angle whose secant is x.
Domain: x ≤ -1 or x ≥ 1
Range: 0 ≤ arcsec(x) ≤ π, excluding π/2

6. arccot(x) or cot^(-1)(x): It gives the angle whose cotangent is x.
Domain: -∞ ≤ x ≤ ∞
Range: 0 < arccot(x)="" />< />

These functions can be used to solve trigonometric equations and find angles in a triangle given side lengths or trigonometric ratios.

Some important properties of inverse trigonometric functions include:

- The range of inverse trigonometric functions is restricted to make them one-to-one functions.
- The principal values of inverse trigonometric functions lie in specific intervals.
- Inverse trigonometric functions can be expressed in terms of each other using trigonometric identities.
- The values of inverse trigonometric functions can be found using tables or calculators.

In JEE Main (Joint Entrance Examination Main), questions related to inverse trigonometric functions are often asked to test the understanding of trigonometric concepts and their applications in problem-solving.

It is important to practice solving problems involving inverse trigonometric functions to develop a strong understanding of their properties and applications.