BASIC MATHEMATICS FOR NEET AND JEE STUDENTS

Hello everyone! I'm thrilled to have you here today.

Trigonometry is not just a chapter in Mathematics — it's a powerful tool that helps us solve a variety of Physics problems, especially in topics like Projectile Motion, Optics, and Waves.

In this session, we will break down the basics of Trigonometry — from understanding angles and triangles to mastering sine, cosine, and tangent ratios — all in a way that’s simple, visual, and exam-focused.

Whether you're just starting out or need a quick revision, this class will build your foundation, boost your confidence, and help you approach NEET-level problems with clarity.

So get your notebook ready — let’s make Trigonometry your strength, not a struggle

• Angle and Its Measurement
  📌 Degrees and Radians
  → Understand that 360° = 2π radians. NEET problems may require conversion between the two.

• Types of Angles
  📌 Acute, Right, Obtuse, Reflex
  → Knowing angle types helps in understanding triangle properties and function behavior.

• Right-Angled Triangle and Basic Ratios
  📌 Sine (sin), Cosine (cos), Tangent (tan)
  → Definitions based on a right triangle:

  • sin θ = Opposite / Hypotenuse

  • cos θ = Adjacent / Hypotenuse

  • tan θ = Opposite / Adjacent

• Reciprocal Ratios
  📌 Cosec, Sec, Cot
  → These are reciprocals:

  • cosec θ = 1/sin θ

  • sec θ = 1/cos θ

  • cot θ = 1/tan θ

• Trigonometric Identities
  📌 Key Identity:

  • sin²θ + cos²θ = 1
    → Frequently used in simplification and solving equations.

• Signs of Trigonometric Functions in Different Quadrants
  📌 All Students Take Coffee (ASTC Rule)
  → In quadrant I: All positive
  → Quadrant II: sin positive
  → Quadrant III: tan positive
  → Quadrant IV: cos positive

• Trigonometric Values of Standard Angles
  📌 0°, 30°, 45°, 60°, 90°
  → Must be memorized. Helps in fast solving during NEET.

• Trigonometric Equations and Graphs
  📌 Understand periodic nature
  → Useful in solving advanced questions in SHM and wave motion.

• Application in Physics (NEET Focus)
  📌 Projectile Motion, Inclined Plane, Simple Harmonic Motion
  → Trigonometry helps in resolving forces, calculating components, and analyzing motion.