'Special triangles' presentation slideshows

SHADOWS

SHADOWS. SIMILARITY PROPORTIONS TRIGONOMETRY. HOW LONG IS A SHADOW?. EXPERIMENTING WITH SHADOWS. SHADOW DATA GATHERING. LOOKING FOR EQUATIONS. AN N-BY-N WINDOW. MORE ABOUT WINDOWS. DRAW THE SAME SHAPE. HOW TO SHRINK IT?. THE STATUE OF LIBERTY. MAKE IT SIMILAR.

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6.2

6.2. Trigonometry of Right Triangles. Trigonometric Ratios. Trigonometric Ratios. Consider a right triangle with ? as one of its acute angles. The trigonometric ratios are defined as follows (see Figure 1). Figure 1. sin ? =. sin ? =. Trigonometric Ratios.

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Trig Values and SOHCAHTOA

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Essential Question:

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Unit Plan Power Point

Unit Plan Power Point. Pythagorean Theorem Special right triangles Intro to Trigonometry Angles of Elevation and Depression Vectors. The Pythagorean Theorem. A 2 +B 2 =C 2 The sum of the squares of the two shorter sides of a right triangle equals the square of the hypotenuse.

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Use Trigonometry with Right Triangles & Define General Angles

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5.8

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Verifying Trigonometric Identities

Verifying Trigonometric Identities. Dr .Hayk Melikyan Departmen of Mathematics and CS melikyan@nccu.edu. Basic Trigonometric Identities. sin(- x ) = - sin x cos(- x ) = cosx tan( -x) = - tanx sec( -x ) = sec x csc( -x ) = - cscx cot( -x) = - cotx. Text Example.

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Pre-Calculus

Pre-Calculus. Chapter 4 Trigonometric Functions. 4.3 Right Triangle Trigonometry. Objectives: Evaluate trigonometric functions of acute angles. Use fundamental trigonometric identities. Use a calculator to evaluate trigonometric functions.

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Prerequisite Skills

Prerequisite Skills. Curtis, Chris, Camil. Properties of Exponents. Product rule a n a m = a n+m Ex. 5 2 5 3 =5 5 Quotient rule a n /a m =a n-m Ex. 5 5 /5 2 =5 3 Power rule (a n ) m = a nm Ex. (9 3 ) 2 =9 6. Negative exponents a -n =1/a n Ex. 4 -3 =1/4 3. Rational exponents

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DO NOW Wednesday, November 6, 2013

DO NOW Wednesday, November 6, 2013. Tuesday, November 5, 2013 Name: ________________________ Per: __. Learning Objective. We will use the Pythagorean Theorem 1 to calculate the sides of Right Triangles 2. What are we going to do?. CFU. Activate Prior Knowledge.

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Geometry

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No Calculator Trig Functions & SOH CAH TOA

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Warm-up

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The 5 Angle Rules All you need for almost any angle problem

The 5 Angle Rules All you need for almost any angle problem. 2. ?. ?. 1. ?. 4. ?. ?. 3. 1. 2. 3. Parallel lines. 4. 5. Any Triangle All angles add up to 180 o Special triangles: Isosceles Triangle: 2 equal angles Equilateral Triangle: 3 equal angles (all 60 o ).

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Special Right Triangles (45-45-90 & 30-60-90)

Special Right Triangles (45-45-90 & 30-60-90). 9.3.3.5 Know and apply properties of right triangles, including properties of 45-45-90 and 30-60-90 triangles, to solve problems and logically justify results. Guiding Question: What is the relationship between the sides of special right triangles?.

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Finding Direction Angles of Vectors

Finding Direction Angles of Vectors. Direction Angles. Any vector that begins at the origin can easily be translated into a directional angle This is usually done with a tangent ratio Keep an eye out for 30,45,60 degree angles using the triangles!. Finding the directional angle of a vector.

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