Trigonometric Ratios - Trigonometric Ratios in Right Triangles M Bruley Trigonometric Ratios are based on the Concept of Similar Triangles All 45º

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Unformatted text preview: Trigonometric Ratios in Right Triangles M. Bruley Trigonometric Ratios are based on the Concept of Similar Triangles! All 45º- 45º- 90º Triangles are Similar! 45 º 2 2 2 2 45 º 1 1 2 45 º 1 2 1 2 1 All 30º- 60º- 90º Triangles are Similar! 1 60º 30º ½ 2 3 3 2 60º 30º 2 4 2 60º 30º 1 3 All 30º- 60º- 90º Triangles are Similar! 10 60º 30º 5 3 5 2 60º 30º 1 3 1 60º 30º 2 1 2 3 The Tangent Ratio c a b c’ a’ b’ If two triangles are similar, then it is also true that: ' ' b a b a = The ratio is called the Tangent Ratio for angle θ θ b a θ θ θ θ Naming Sides of Right Triangles θ θ θ θ θ θ The Tangent Ratio θ θ θ θ θ θ Tangent Tangent θ = θ = Adjacent Opposite There are a total of six ratios that can be made There are a total of six ratios that can be made with the three sides. Each has a specific name. with the three sides. Each has a specific name. The Six Trigonometric Ratios (The SOHCAHTOA model) θ θ θ θ θ θ Adjacent Opposite Tangentθ Hypotenuse Adjacent Cosineθ Hypotenuse Opposite Sineθ = = = The Six Trigonometric Ratios...
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This note was uploaded on 01/12/2011 for the course MAT117 MAT 117 taught by Professor Ranjitrebello during the Spring '09 term at University of Phoenix.

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Trigonometric Ratios - Trigonometric Ratios in Right Triangles M Bruley Trigonometric Ratios are based on the Concept of Similar Triangles All 45º

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