Here's a complete guide to help you start and organize your CBSE Research-
Based Mathematics Project. Let's assume you're choosing “Application of
Trigonometry in Real Life” — though I can help you adapt this template to
any of the other topics too.
📘 Project Title:
Application of Trigonometry in Real Life
📄 1. Introduction:
Trigonometry is the branch of mathematics that studies relationships between
the sides and angles of triangles. Derived from Greek words “trigonon” (triangle)
and “metron” (measure), trigonometry plays a vital role in various real-life
applications such as architecture, astronomy, navigation, engineering, and even
art.
This project aims to explore real-world uses of trigonometry, highlighting how it
forms the foundation of many practical fields and innovations. Through case
studies, pictures, timelines, and examples, this research will show how
mathematical concepts are not confined to textbooks but extend meaningfully
into our daily lives.
📆 2. Activity Schedule:
Week Activity
Week
Topic Selection & Research Plan
1
Week
Collection of Information & Images
2
Week
Case Studies and Real-Life Examples
3
Week Preparing Diagrams/Illustrations/Working
4 Models
Week Designing the Timeline, Glossary, and
5 Maps
Week
Final Compilation and File Decoration
6
Week
Proofreading and Submission
7
📚 3. Information & Articles (Brief Outline):
🔸 Real-life Applications:
Architecture & Construction: Measurement of heights and angles.
Astronomy: Calculating distances between stars and planets.
Navigation and Aviation: Determining direction, altitude, and
coordinates.
Medical Imaging: In CAT scans and MRIs.
Sound Engineering: Wave calculations.
Satellite Systems & GPS.
🔸 Practical Case Studies:
How pilots use trigonometry during flight.
Use of trigonometry in determining earthquake epicenters.
Surveyors using trigonometric ratios to measure land areas.
4. Timeline of Trigonometry:
Year Mathematician Contribution
3rd Century
Hipparchus Father of Trigonometry
BC
2nd Century
Ptolemy Developed trigonometric tables
AD
Used sine tables in Indian
7th Century Aryabhata
astronomy
Refined trigonometric
9th Century Al-Battani
calculations
17th Century Newton Used trigonometry in calculus
Use in Space
20th Century Apollo mission trajectories
Missions
📌 5. Diagrams/Illustrations Ideas:
A labeled triangle with sin, cos, tan shown.
A building with height measurement using angle and distance.
Radar system showing trigonometric angle detection.
Right triangle showing real measurements (angle of elevation/depression).
🧠 6. Glossary:
Term Meaning
Hypotenuse Longest side of a right triangle
Sine Opposite side/Hypotenuse
Cosine Adjacent side/Hypotenuse
Tangent Opposite side/Adjacent side
Angle of
Angle from the ground up to an object
Elevation
Angle of Angle from a horizontal line down to
Depression an object
📷 7. Collection of Pictures:
Photos of surveyors using measuring tools.
Diagrams of airplanes showing angle calculations.
Bridges or buildings designed with trigonometric precision.
GPS models using trigonometric functions.
🧰 8. Working Model Ideas (Optional):
A cardboard model of a right-angled triangle with rotating arms to show
angle changes.
A clinometer (angle-measuring device) made with protractor, straw, and
string.
3D model of a hill and a person measuring its height using trigonometry.
✅ 9. Final Touches:
Maps: Use world maps to show GPS or air travel routes.
Decorate the file using borders, headings, and colored markers.
Include QR codes linking to videos or simulations (optional).
Include a reference section at the end.
