Inverse Trigonometric Functions Class 12 Maths Important Previous Year Questions

Important Questions for Class 12 Maths Chapter 2 Inverse Events Functions, Inverse Trigonometric Functions Important Questions for Class 12 with Solutions Previous year questions help students to get good marks in board exams.

PYQs :

FAQs

Q1: Can we use inverse trigonometric functions to find any angle?

A1: No, inverse trigonometric functions give the principal value of the angle within a specific range, usually in the interval [-π/2, π/2] for sin⁻¹(x) and [0, π] for cos⁻¹(x).

Q2: Are there any restrictions on the domains of inverse trigonometric functions?

A2: Yes, to ensure the existence of inverse trigonometric functions, their domains are restricted so that each value of the trigonometric ratio corresponds to a unique angle.

Q3: How are inverse trigonometric functions used in physics?

A3: In physics, inverse trigonometric functions are used to analyze the motion of objects in circular and periodic motions, as well as in oscillatory phenomena.

Q4: Can you explain the concept of a principal value in inverse trigonometric functions?

A4: The principal value of an inverse trigonometric function is the value of the function within a specific range that ensures a one-to-one correspondence between the trigonometric ratio and the angle.

Q5: Are there any real-world applications of inverse trigonometric functions?

A5: Yes, inverse trigonometric functions find applications in fields such as engineering, navigation, astronomy, and architecture.