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Presentation On Trigonometry

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Published in: Mathematics | Maths
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Introduction to Trigonometry.

Shaik M / Doha

10 years of teaching experience

Qualification: MSc in Applied Mathematics , Bachelor of Education and Phd in Computational Statistics

Teaches: C / C++, Matlab, MS Office, Computer Basics, Statistics, Maths, Engineering Subjects, Computer Science/IT

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  1. SUBJECT MATHEMATICS Trigonometry Presented by:- S Rival
  2. Trigonometry Trigonometry is derived from Greek words trigonon(three angles) and metron (measure). Trigonometry is the branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is Trigonometry specifically deals with relationships between the sides and the angles of a triangle, i.e. on the trigonometric functions, and with calculations based on these functions.
  3. History The origins of trigonometry can be traced to the ci- vilizations of ancient Egypt, Mesopotamia and the Indus Valley, more than 4000 years ago. Some experts believe that trigonometry was originally invented to calculate sundials. The first recorded use of trigonometry came from the Hellinistic mathematician Circa in 150 BC. Many mathemiticians like Aryabhatta, Ibn Yunus Al-Kashi also contributed significantly.
  4. Right Triangle A triangle in which one angle is equal to 900 is called a right angled triangle. The side opposite to the right angle is known as hypotenuse. AC is the hypotenuse The other two sides are known as legs or base and altitude AB and AC are base and altitude respectively Hypotenuse c Base / Opposite
  5. woras Theorem In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are the two legs. In the figure, Hypotenuse AC2 = AB2 + BC2 Base/Opposite
  6. "Irogonometric Ratios Sine (sin) Cosine (cos) Tangent (tan) side Cosecant (cosec) Secant (sec) Cotangent (cot) side Opposite side / Hypotenuse Adjacent side / Hypotenuse Opposite side / Adjacent Hypotenuse / Opposite side Hypotenuse / Adjacent side Adjacent side / Opposite
  7. Value for Trigonometric Functions for Angle C Sino - AB/AC coso = BC/AC Tano = AB/BC CosecO = AC/AB Seco = AC/BC Coto - AC/AB Hypotenuse Base/Opposite c
  8. Value of Trigonometric Functions 300 450 600 VS1i1 e cos tan O cot Sec- 0 cosec Not ciefinecl Not defined 900 Not defined Not defined
  9. Trigonometric Identities 3
  10. Some Applications of Trigonometry Main use is in Construction or else this field of mathematics can be applied in astronomy,navigation, acoustics medical imaging, civil engineering, seismology, electrical engineering phonetics, chemistry, number theory and many more. 30
  11. Real life Applications of Trigonometry
  12. N/A
  13. N/A
  14. Angle of Depresslon and Angle of Elevation Angle of Depression Angle of elevation
  15. Thank you!

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