Basics Of Trigonometry

This class of for students who are confused in trigonometry and want to learn trigonometry from base.

They need to bring NCERT class 10 Mathematics book

 1. Introduction to Trigonometry

Topics:

Meaning of trigonometry

Understanding right-angled triangles

Concept of perpendicular (opposite side), base (adjacent side), and hypotenuse

Historical background (optional)

Learning Outcome:

Students understand what trigonometry is and how it relates to triangles.

2. Trigonometric Ratios

Topics:

sin θ = Perpendicular / Hypotenuse

cos θ = Base / Hypotenuse

tan θ = Perpendicular / Base

cosec θ, sec θ, cot θ (inverse/reciprocal ratios)

Ratios for specific angles: 0°, 30°, 45°, 60°, 90°

Learning Outcome:

Ability to calculate and use trigonometric ratios for known angles.

3. Trigonometric Ratios of Complementary Angles

Topics:

Meaning of complementary angles (sum = 90°)

sin(90° – θ), cos(90° – θ), tan(90° – θ), etc.

Relationship between pairs like sin & cos, tan & cot

Learning Outcome:

Students understand the symmetry of ratios around 90°.

4. Applications of Trigonometry

(Usually a separate chapter in Class 10)

Topics:

Heights and Distances

Angle of elevation

Angle of depression

Applying trigonometry in real life (buildings, ladders, towers, shadows)

Learning Outcome:

Students learn how trigonometry helps solve real-world problems.

5. Important Identities (Basic)

(Depending on board, sometimes included lightly)

tan θ = sin θ / cos θ

sec²θ = 1 + tan²θ

cosec²θ = 1 + cot²θ