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Mathematical Applications For The Physics Classroom Algebra and Trigonometry
Algebra – Solving Expressions PEMDAS – Order of operations to solve for an expression. 1.Parenthesis 2.Exponents 3.Multiplication 4.Division 5.Addition 6.subtraction
Solving For Equations When solving for a variable inside of an equation, the order of operations is reversed. Example: 2(x+3) 2 = 2 (x+3) 2 = 1 √[(x+3) 2 ] = √(1) x+3 = √(1) x = √(1) – 3 x = -2
Trigonometry Soh Cah Toa – Sin θ= opp/hyp – Cos θ = adj/hyp – Tan θ = opp/adj Only works for right triangles Hypotenuse Opposite Adjacent θ Hypotenuse Opposite Adjacent θ
Law of Sines and Cosines Law of Sines Sin A = Sin B = Sin C a b c Law of Cosines c 2 = a 2 + b 2 – 2ab (cos C) These Laws are used on triangles that are not right triangles.
Example Problems 1.Solve for a V f 2 = V i 2 +2ad 2.Solve for x 3.Solve for c 6 m x c 3 m 7 m θ = 100° θ = 30°
Example Problems 4.Solve for a 5.Solve for y 9 m a 100° 35° y 4 m 3.5 m
Trigonometry Right Angled Triangle. Hypotenuse [H]
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
15 Mathematical Fundamentals Need working knowledge of algebra and basic trigonometry if you don’t have this then you must see me immediately!
Math 112 Elementary Functions Section 1 The Law of Sines Chapter 7 – Applications of Trigonometry.
Trigonometry can be used for two things: 1.Using 1 side and 1 angle to work out another side, or 2.Using 2 sides to work out an angle.
TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant.
SOH CAH TOA By: Corinne Fahs. Purpose The purpose of this PowerPoint is to help with the understanding of trigonometry by the use of SOH CAH TOA. The.
Trigonometry SOH CAH TOA.
Trigonometry. Logarithm vs Natural Logarithm Logarithm is an inverse to an exponent log 3 9 = 2 Natural logarithm has a special base or e which equals.
Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations.
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
Method #2: Resolution into Components. Solving Vector Problems using the Component Method Each vector is replaced by two perpendicular vectors called.
Unit 1 – Physics Math Algebra, Geometry and Trig..
1 Mathematical Fundamentals Need working knowledge of algebra and basic trigonometry if you don’t have this then you must see me immediately!
Table of Contents 5. Right Triangle Trigonometry
Math Review Gallery Walk.
Trigonometry functions and Right Triangles First of all, think of a trigonometry function as you would any general function. That is, a value goes in and.
8-3: Trigonometry Objectives To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles To use the sine,
CHAPTER 5 FORCES IN TWO DIMENSIONS
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