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# Math Assingment by Group B-1.pptx

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# Math Assingment by Group B-1.pptx

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### Math Assingment by Group B-1.pptx

1. 1. Maths Activity ! Presentation by Group B
2. 2. Members of Group B : 1. Gatik Garg 4. Moksh Sankhla 2. Gautam Dhariwal 3. Hiten Vasnani 5. Yash Saxena 6. Priyam Garg
3. 3. Acknowledgement - “We would like to express our special thanks of gratitude to our teacher – ‘Mrs. Neeta Mehta’ mam as well as our honorable principal – ‘Mr. UK Jha’ sir who gave us the golden opportunity to present the wonderful Mathematics Assignment on Chapter - TRIGONOMETRY, which also helped us in doing a lot of research and we came to know about so many new things, we are really thankful to all of them. Secondly we would also like to thank our family members and friends who helped us a lot in finalizing this project.”
4. 4. — William Paul Thurston MATHEMATICS is not about number, equations, computations, or algorithms it is about UNDERSTANDINGS !!! ”
5. 5. INDEX : 1 2 3 4 5 History of Mathematics What is Trigonometry History of Trigonometry More about Trigonometry Some applications of trigonometry Hiten Vasnani Moksh Sankhla Priyam Garg Gatik Garg , Yash Saxena Gautam Dhariwal 6 Summary & Conclusion Yash Saxena
6. 6. Hiten Vasnani History of Mathematics 01
7. 7. Some Famous Greek Mathematicians :- Euclid Archimedes Pythagoras Aristotle
8. 8. Aryabhatiya Book was written around 510 C.E. It consists of 4 sections, namely : I. Gitika Padam II. Ganita Padam III. Kalkriya Padam IV. Gola Padam
9. 9. What is Trigonometry ? 02 Moksh Sankhla
10. 10. Trigonometric Ratios : Sin - Sine Cos - Cosine Tan - Tangent Cot - Cotangent Sec - Secant Cosec - Cosecant The ratio between two sides of right triangle based on its adjacency or opposition to the given angle.
11. 11. Line of Sight - Angle of Elevation & Angle of Depression :
12. 12. WHY ?
13. 13. 4. Analytic Trigonometry 2. Spherical Trigonometry  Types of Trigonometry - 1. Core Trigonometry 3. Plane Trigonometry
14. 14. History of Trigonometry 03 Priyam Garg
15. 15. Babylon Empire Egyptian Civilization
16. 16. Hipparchus 190 BC - 120 BC He is known as Father of Modern Trigonometry.
17. 17. INDIAN Contribution to Trigonometry : Aryabhata - He discovered Sine and Cosine which he named as jya and kojya.
18. 18. Bhaskara I & Bhaskara II - They gave sine and cosine approximation.
19. 19. Brahmagupta - He gave LAW OF SINES.
20. 20. Muhammad Ibn Musa Al-Khwarizmi : He is known as Father of Algebra and discovered Tangent. Persian Mathematicians : Abu Al Wafa Buzjani : He discovered secant, cotangent, cosecant known as Trigonometric Ratio Reciprocals.
21. 21. More about Trigonometry 04 Yash Saxena, Gatik Garg
22. 22. Pythagoras Theorem :
23. 23. Right triangle : Special Right triangle :
24. 24. Trigonometric Ratios for specific angles : Values of trigonometric ratios based on specific angles.
25. 25. Trigonometric ratios for complementary angles : The relation between two trigonometric ratios and their complementary value.
26. 26. Trigonometric Identities : Equations that involve trigonometric ratios of a angle and are true for all the values of the angles involved.
27. 27. Gautam Dhariwal Some Applications of Trigonometry 05
28. 28. Applications of Trigonometry : 41.5° Trigonometry helps in measuring inaccessible lengths. 64 cm ?
29. 29. Trigonometry can be used in :  To Measure the Height of a Building or Mountains  Video Games  Construction  Aviation and Naval  Physics  Criminology  Marine Biology  Marine Engineering  Navigation  Creation of Maps
30. 30. Real life Applications of Trigonometry : 1. The Great Pyramids of Giza Primitive forms of trigonometry were used in the construction of these wonders of the world.
31. 31. 2. Jantar Mantar Observatory For millennia, trigonometry has placed a major role in calculating distances between Stellar object and their paths.
32. 32. 3. Grand Canyon Skywalk Geologist had to measure the amount of pressure that surrounding rocks could with stand before constructing the skywalk.
33. 33. 4. Taj Mahal
34. 34. These were Some Real Life Applications of Trigonometry.
35. 35. Summary & Conclusion 06 Yash Saxena
36. 36. This is perhaps nothing which so occupies the middle position of mathematics as TRIGNOMETRY.