1 (a) Show that = tan θ. (b) Hence find the value of cot in the form a + ‚ where a‚ b . 2 If x satisfies the equation ‚ show that 11 tan x = a + b‚ where a‚ b +. 3 The graph below shows y = a cos (bx) + c. Find the value of a‚ the value of b and the value of c. 4 The diagram below shows two concentric circles with centre O and radii 2 cm and
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Geometry in Everyday Life Geometry in everyday life Geometry was thoroughly organized in about 300bc‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books‚ called Elements. Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry‚ which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions
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Geometry (Ancient Greek: γεωμετρία; geo- "earth"‚ -metron "measurement") is a branch of mathematics concerned with questions of shape‚ size‚ relative position of figures‚ and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths‚ areas‚ and volumes‚ with elements of a formal mathematical science emerging in the West as early as Thales (6th Century
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Geometry is important for many reasons. It is used in almost all bases of life‚ including shopping‚ driving‚ work‚ and especially school. It is used most all the time too‚ not just every now and then‚ more like all the time. Geometry is used while shopping at the store. You use it to pick out an item that is not dented. Geometry is used to tell whether a fruit or vegetable is rotten‚ or out of shape. Knowing geometry‚ you can pick out the most plump and nutritious items to eat. When you choose a
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"The applications of geometry in real life are numerous. Nearly everyday people are faced with major and minor issues that require the use of geometry. Some of these include finding the square footage of a home‚ determining the volume a container or deciding how much tile is needed to put in a new kitchen floor. The square footage in a home is often determined by length and width of each room combined from the exterior walls. Without geometry we would never know how much square footage of paint to
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before him. Not only was Euclid a mathematician and a scientist‚ he was an author as well. Euclid’s most well-known writing was a series of books called “The Elements”. The Elements were on subjects like circles‚ irrational numbers‚ 3D geometry‚ plane geometry and number theory. The Elements consist of five postulates and definitions. These books explained simple theories to detailed explanations of what a line is. Although he did not discover most of these he was the first to publish a series
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Geometry Honors Component I know you need to know how to read a write for life‚ but how in the world does math come into play anywhere in life? Believe it or not math is actually very important‚ it’s kinda like a third language. You need math so you can see how much groceries are or to even make or design a building. This math is also known as algebra and geometry. No you may not uses algebra and geometry in the store but you will use it in sport and jobs like Civil Engineer or Architecture. Architecture
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need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project‚ students will discover situations in daily life where geometrical concepts can be used effectively. In particular we find situations where the properties of similar triangles are useful and how to find height and distance of any object with the help of geometry and trigonometry. Objective
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Geometry III 1st Grading Period I. Undefined Terms 1. Point- though we represent a point with a dot‚ the point has no length‚ width‚ or thickness. A point is usually named with a capital letter. In the coordinate plane‚ a point is named by an ordered pair‚ (point A) . A 2. LINE –In geometry‚ a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends
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Variable Geometry Turbocharger Turbochargers works on the simple principle of increasing the intake air density by compression. Being able to fill more air into the combustion chamber will allow more fuel to be added to produce more power. However the operation of the turbocharger relies solely on the exhaust gas velocity to drive the compressor. Thus the compressor will be at optimum operation range when the engine is under heavy load. When the throttle is opened‚ it will take a certain period
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