7.4 DƟuble Angle TheƟrems. A Baking StƟry Ɵnce upon a time, there is a tan gent(leman) baking cookies. He is making a double recipe to share with his.

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Presentation transcript:

7.4 DƟuble Angle TheƟrems

A Baking StƟry Ɵnce upon a time, there is a tan gent(leman) baking cookies. He is making a double recipe to share with his friends. He wants to make 2 sugar, 2 chocolate, and 2 thin mints. What recipes will the tan gent need?

Sugar Cookies/Sin Sugar (2Ɵ) = double batch of sugar Recipe = 2SugarCookies Sine(2Ɵ) = 2sin(Ɵ)Cos(Ɵ)

Chocolate Chocolate(2Ɵ) = double batch of chocolate = Cosine(2Ɵ) Recipe= ChocolateChip- SweetSugar Cos(Ɵ)Cos(Ɵ) – Sin(Ɵ)Sin(Ɵ)

Cosine Ɵr 2ChocolateChip - 1 2Cos(Ɵ)Cos(Ɵ) – 1 Ɵr 1 – 2SweetSugar 1 – 2Sin(Ɵ)Sin(Ɵ)

Thin Mint Thin Mint(2Ɵ)= double batch of thin mint Recipe= 2Teaspoons/ (1-TeaspoonTablespoon) Tangent Tan(2Ɵ) = 2Tan/ (1 - Tan(Ɵ)Tan(Ɵ))

FIN So, tan gent has made enough cookies for his friends. Now, lets watch him in the classroom for more examples on how to make double recipes…