1. Summer School 2007B. Rossetto1 Trigonometry  Definitions  H.. P O Let OP = OH’ = r > 0, a positive length. Give the definition of: P’. H’. r r

2. Summer School 2007B. Rossetto2 Trigonometry  Some usual values Half square Half equilateral triangle

3. Summer School 2007B. Rossetto3 Trigonometry  Some usual values: summary Angle 0 sin cos tan

4. Summer School 2007B. Rossetto4 Trigonometry  First simple relationships  H.. P O r r From the definition, find the relationships between sin , cos , tan  and: Use any circle or the trigonometric circle (r=1)

5. Summer School 2007B. Rossetto5 Trigonometry  Computing sin(+) A B C c     H K H’

6. Summer School 2007B. Rossetto6 Trigonometry  Computing cos(-) A B C c     H K H’

7. Summer School 2007B. Rossetto7 Trigonometry  Deducing other addition formulas

8. Summer School 2007B. Rossetto8 Trigonometry  Linearization From products to sums: From sums to products :