Banaag Camille
Storyboard Tekst
- There were three triangles called "Sine, Cosine, Tangent". They were the most popular triangles of the school.
- "Ouuuu. Look at Sin, Cos, Tan".
- There are 3 major functions of an angle commonly used in Trigonometry.
- This week we're going to be learning about Trigonometric Ratios.
- Sine (sin), Cosine (cos), Tangent (tan)
- Does anybody know anything about Trigonometric Ratios?
- That's why we're so popular! We're named after Trigonometric Ratios!
- I wonder how our names (Trig Ratios) were discovered.
- Trigonometric Ratios
- Sine 4.3.1
- Sine's House
- HW: History of Trig Ratios
- Trigonometry#160;comes from the Greek words#160;trigonon#160;triangle and#160;metron#160;to measure.
- Very Good Guys!
- Trigonometry began with the#160;Greeks.#160;Hipparchus#160;was the first to construct a table of values for a#160;trigonometric function.
- Can anybody tell me what they learned from their research?
- As an astronomer, he was interested in spherical triangles, like the imaginary triangle formed by three#160;stars#160;on the#160;celestial sphere, but he was also familiar with the basic formulas of plane trigonometry. In his time, these formulas were expressed in purely geometric terms as relations between the various chords and angles (arcs) that subtend them; the modern symbols for the trigonometric functions were not introduced until the 17th century.
- Hipparchus considered every triangle, planar or spherical as being inscribed in a circle, so that each side becomes a chord (that is, a straight#160;line#160;that connects two points on a curve or#160;surface)
- To compute the various parts of the triangle, one has to find the length of each chord as a#160;function#160;of the central angle that subtends it—or, equivalently, the length of a chord as a function of the corresponding arc width.
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