Inverse Trigonometric Functions: Class 12 Mathematics (MP Board) important questions and practice
Inverse Trigonometric Functions is chapter 2 of 13 in MP Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Definition, domain, range and principal value branches
- Graphs of inverse trigonometric functions
- Finding principal values
- Simplifying expressions using substitution (x = tan t, x = sin t)
- Properties of inverse trigonometric functions (elementary)
What examiners usually ask
- Find the principal value of sin^-1(-1/2) + cos^-1(-1/2)
- Write tan^-1(root(1 + x^2) - 1)/x in the simplest form
- Find the domain of f(x) = sin^-1(2x - 1)
Exam tip
Know the principal value ranges by heart (sin^-1 in [-pi/2, pi/2], cos^-1 in [0, pi], tan^-1 in (-pi/2, pi/2)) because most lost marks are from an answer outside the range; the chapter is reduced in CBSE, so one or two short questions are typical.
Inverse Trigonometric Functions on other boards and exams
Frequently asked questions
What are the important questions from Inverse Trigonometric Functions for MP Board Class 12?
The question types listed above repeat most often in MP Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Inverse Trigonometric Functions in the MP Board Class 12 Mathematics syllabus?
Yes. Inverse Trigonometric Functions is part of the current MP Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Inverse Trigonometric Functions MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.