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- 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
- Cos Tan 4.3.1.
- Sine 4.3.1
- Sine's House
- HW: History of Trig Ratios
- Trigonometry comes from the Greek words trigonon triangle and metron to measure.
- Very Good Guys!
- Trigonometry began with the Greeks. Hipparchus&was the first to construct a table of values for a 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 stars on the 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 line that connects two points on a curve or surface)
- To compute the various parts of the triangle, one has to find the length of each chord as a function 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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