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Introduction to Trigonometry What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's.

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Presentation on theme: "Introduction to Trigonometry What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's."— Presentation transcript:

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2 Introduction to Trigonometry

3 What is Trigonometry? Trigonometry is the study of how the sides and angles of a triangle are related to each other. It's all about triangles!

4 A Right Triangle Opposite Hypotenuse Adjacent

5 Same Right Triangle – Different Angle Hypotenuse B Adjacent Opposite

6 Trig Definitions: Sine = opposite/hypotenuse Cosine = adjacent/hypotenuse Tangent = opposite/adjacent Cosecant = hypotenuse/opposite Secant = hypotenuse/adjacent Cotangent = adjacent/opposite

7 A Way To Remember Sin = Opposite/Hypotenuse Oprah Had Cos = Adjacent/Hypotenuse A Huge Tan = Opposite/Adjacent Old Afro

8 y x y x r O x,y r = x + y 222

9 Definitions of Trig Functions Sin =y / r Cos =x / r Tan =y / x Csc=r / y Sec=r / x Cot= x / y O O O O O O

10 Radius = 1 The Unit Circle

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12 y x 1/2 30 x,y r = x + y 222 1 √3/2

13 y x √/2/2 45 x,y r = x + y 222 1 √2/2

14 y x 1/2 60 x,y r = x + y 222 1 √3/2

15 The Unit Circle-Special Angles and Their Exact Values


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