JEEM-21 — JEE Main Math — Inverse Trigonometric Functions

JEE Main Math — Inverse Trigonometric Functions

Inverse trigonometric functions for JEE Main aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Identify principal-value branches and determine domain and range of inverse circular functions [Apply]
  2. Apply identities such as sin^-1 x + cos^-1 x = pi/2 and conversion between inverse functions [Apply]
  3. Use sum and difference formulae to simplify expressions of the form arctan a + arctan b [Apply]
  4. Solve inverse trigonometric equations and verify solutions against principal-value constraints [Analyze]
  5. Sketch graphs of inverse trigonometric functions and interpret transformations [Apply]
  6. Solve JEE Main MCQs on inverse trig functions by spotting standard simplification chains rapidly [Apply]

📚 Chapters

  1. Definitions and Principal Value Branches
  2. Domain and Range
  3. Graphs of Inverse Trigonometric Functions
  4. Properties and Identities
  5. Sum and Difference Formulae
  6. Inverse Trigonometric Equations
  7. Simplification Techniques
  8. Applications and Mixed Problems

TutorDA LMS