Shawnje Granville Benjamin Banneker Academy January 17‚2013 Trigonometry TRIGANOMETRY The history of algebra goes way back in time (more than 4000 years . Algebra is a sub within mathematics‚ but for historical reasons‚ the word "algebra" has three meanings that can all suffice in defining the word or term . Algebra can mean use of letters and symbols to represent values and their relations‚ especially for solving equations‚major branch of mathematics which studies relations
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1 CHAPTER 3 PLANE AND SPHERICAL TRIGONOMETRY 3.1 Introduction It is assumed in this chapter that readers are familiar with the usual elementary formulas encountered in introductory trigonometry. We start the chapter with a brief review of the solution of a plane triangle. While most of this will be familiar to readers‚ it is suggested that it be not skipped over entirely‚ because the examples in it contain some cautionary notes concerning hidden pitfalls. This is followed by a quick review of spherical
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the Pythagorean Theorem. Solving Oblique Triangles Explore the types of triangles and how to solve them. All oblique triangles make full use of the sum of angles rule that A + B + C = 180º in all triangles. All other elements require select application of the Law of Sines or Law of Cosines. Types of Triangles Right Triangles Explain that a right triangle is solved when all three sides and the two free angles are all given measurements. As long as two sides or a side and
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Right Triangle Trigonometry Trigonometry is a branch of mathematics involving the study of triangles‚ and has applications in fields such as engineering‚ surveying‚ navigation‚ optics‚ and electronics. Also the ability to use and manipulate trigonometric functions is necessary in other branches of mathematics‚ including calculus‚ vectors and complex numbers. Right-angled Triangles In a right-angled triangle the three sides are given special names. The side opposite the right angle is called the
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any challenges that I face‚ like Honors Trigonometry. Math has been my best subject throughout school. However‚ in my first semester of Honors Trigonometry‚ I was repeatedly getting C’s on tests‚ which resulted in me earning a B first semester. When I considered dropping the class‚ I recalled what I had to do to get my axel back. Keeping that in mind‚ I decided to stick it through in Honors Trigonometry. I directed more of my time and energy on Trigonometry homework and studied harder throughout the
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Unit 4 – Trigonomitry Quiz True or False Questions‚ circle your answer. 1. cos(α)=opposite/adjacent true false 2. sin(54)=3.4/2.7 true false for: 3. sin(α)/a=sin(β)/b is the same as a/sin(β)=b/sin(α) true false 4. SohCahToa is not the same as primary trigonomic ratios true false 5. The cosine law is: cos(γ)=(a²+b²-c²)/(2ab) true false Multiple Choice‚ mark your answer(s). 1. sin(20°)=45.9/c a.) c=88.79 b.) c=134.21
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To start the experiment‚ weigh the mass of the cart with the picket fence and record the mass on an excel worksheet. The combined weight of the cart and the picket fence will be referred to as M. After weighing the cart with the picket fence‚ assemble the dynamic track by installing the photogate at an appropriate position. Additionally‚ install the pulley at the applicable end of the dynamic track. Next‚ hook up the inextensible string to the end of the cart. The attached string should be facing
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Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I ’ll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion‚ a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error appears
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CERAE CHAPTER 6 CIRCULAR FUNCTIONS AND TRIGONOMETRY CONTENTS -Angles and Their Measures -Degrees and Radians -Angles in Standard Position and Coterminal Angles -Angles in a Quadrant -The Unit Circle -Coordinates of Points on the Unit Circle -The Sine and Cosine Function -Values of Sine and Cosine Functions -Graphs of Sine and Cosine Functions -The Tangent Function -Graph of Tangent Function -Trigonometric Identities -Sum and Difference of Formulas for Sine and Cosine -Trigonometric
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Trigonometry is used in everyone’s daily life‚ especially in careers and activities. A career that uses trigonometry is oceanography. I chose an oceanographer because I love aquatic life‚ and I didn’t wasn’t exactly sure how trigonometry was associated with oceanography. Astronomy is another common activity that uses trigonometry. I chose astronomy because I am very interested in space‚ and how astronomy is also interconnected with trigonometry. Oceanographers use trigonometry every day at work
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