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Inverse Trigonometric Functions — Syllabus

MHT-CET · Mathematics

Free Inverse Trigonometric Functions syllabus for MHT-CET Mathematics 2026 — topics covered, weightage, and preparation priorities for this chapter.

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A clear, organized comparison chart summarizing the domain and principal value range for all six inverse trigonometric functions: arcsin, arccos, arctan, arccosec, arcsec, and arccot.
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Inverse Trigonometric Functions — Syllabus & Topics

Topics covered in Inverse Trigonometric Functions for MHT-CET Mathematics.

Topics in Inverse Trigonometric Functions

1

Basic Concepts and Definitions

  • Inverse trigonometric functions exist only when we restrict the domains of trigonometric functions to make them one-one
  • Each inverse trigonometric function has a specific domain and range called principal value branch
  • The graphs of inverse functions are reflections of original functions across the line y = x
2

Properties and Identities

  • Complementary angle relationships: sin⁻¹x + cos⁻¹x = π/2
  • Reciprocal relationships connect inverse functions of reciprocal trigonometric ratios
  • Addition and subtraction formulas help solve complex expressions
3

Solving Equations with Inverse Trigonometric Functions

  • Convert inverse trigonometric equations to algebraic equations
  • Use properties and identities to simplify complex equations
  • Always verify solutions within the principal value range
4

Graphical Properties and Analysis

  • Graphs of inverse functions are reflections of original functions across y = x
  • Each inverse function has specific domain and range restrictions
  • Understanding graphs helps in solving inequalities and equations

Key Concepts

Each inverse trigonometric function hasThe graphs of inverse trigonometric functionsWhen composing trigonometric and inverse trigonometricImportant pairs sum to π/2For tan⁻¹x + tan⁻¹y = tan⁻¹((x+y)/(1

Frequently Asked Questions

What topics are covered in Inverse Trigonometric Functions for MHT-CET?
Inverse Trigonometric Functions is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Definitions, Properties and Identities, Solving Equations with Inverse Trigonometric Functions, Graphical Properties and Analysis.
How important is Inverse Trigonometric Functions for MHT-CET?
Inverse Trigonometric Functions is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 254 practice questions available for this chapter.
How to prepare Inverse Trigonometric Functions for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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