This preview shows pages 1–10. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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...
View
Full
Document
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.
 Spring '09
 RANJITREBELLO

Click to edit the document details