JEE Advanced Math — Trigonometry and Geometry of Triangles

Trigonometry and triangle geometry for JEE Advanced aspirants.

📋 Course Learning Outcomes

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

  1. Analyze relationships between circumradius, inradius, and ex-radii in triangles [Analyze]
  2. Derive conditional identities and prove them using transformation formulas [Create]
  3. Evaluate concurrency of cevians using Ceva's and Menelaus's theorems [Evaluate]
  4. Apply geometry of triangle centers — centroid, orthocenter, circumcenter, incenter — via the Euler line [Apply]
  5. Investigate solutions of inverse trigonometric equations with multiple branches [Analyze]
  6. Solve JEE Advanced multi-step and paragraph problems on trigonometry and triangle geometry [Evaluate]

📚 Chapters

  1. Trigonometric Identities — Compound and Multiple Angles
  2. Conditional Identities
  3. Trigonometric Equations
  4. Inverse Trigonometric Functions
  5. Sine, Cosine, Tangent and Projection Rules
  6. Area, Circumradius and Inradius
  7. Ex-Radii and Properties
  8. Geometry of Triangles — Centroid, Orthocenter, Circumcenter
  9. Cevians and Concurrency
  10. Heights and Distances
  11. Mixed Advanced Problems

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