Sine‚ Cosine‚ and Tangent Functions Essential Questions: What is a function? How is the sine definition different from the sine function? Cosine? Tangent? From the graph of these functions‚ list some properties that describe them? Rebecca Adcock‚ a former student of EMAT 6690 at The University of Georgia‚ and I agree that the concept of the Sine‚ Cosine Functions will occur at lesson 6 of a beginning trigonometry unit. I praise her and her work because I want to use her thoughts on this particular
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PROPERTIES OF SINE AND COSINE FUNCTIONS: 1. The sine and cosine functions are both periodic with period 2π. 2. The sine function is odd function since it’s graph is symmetric with respect to the origin‚ while the cosine function is an even function since it’s graph is symmetric with respect to y axis. 3. The sine functions: a. Increasing in the intervals[0‚ π/2]and [3π/2‚ 2π]; and b. Decreasing in the interval [π/2‚ 3π/2]‚over a period of 2 π. 4. The cosine function is: a. Increasing in the interval
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improve its throughput and power keeping the constraints in mind. This paper summarizes the CORDIC architectures‚ presents a simulation of basic CORDIC cell and Implements Unfolded CORDIC Architecture on Spartan XC3S50 FPGA family. Keywords— CORDIC‚ Sine‚ Cosine‚ FPGA‚ CORDIC throughput III. In Section IV we discuss the implementation of CORDIC algorithm in an FPGA and the simulation of basic CORDIC cell using Xilinx tool and XC3S50 Spartan3 family of FPGA is presented. The conclusion along with future
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CENTRAL INSTITUTE OF TECHNOLOGY‚ KOKRAJHAR (Centrally Funded Institute under MHRD‚ Govt. of India) KOKRAJHAR::783370:: BODOLAND Estd. :: 2006 A Project Report On SINE AND COSINE FUNCTION GENERATOR USING VHDL Submitted by‚ DHARMESWAR BORO ROLL NO: Gau-c-10/L-322. PINOSH KR HAJOARY
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APPLICATION OF SINE LAW The shorter diagonal of a parallelogram is 5.2 m. Find the perimeter of the parallelogram if the angles between the sides and the diagonal are 40o and 30o10’. From the top of a 150 m lighthouse‚ the angles of depression of two boats on the shore are 20o and 50o‚ respectively. If they are due north of the observation point‚ find the distance between them. SOLUTION Solved for a 150/sin50 = a/sin90 a = (150 sin90)/sin50
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The Discrete Cosine Transform (DCT): Theory and Application 1 Syed Ali Khayam Department of Electrical & Computer Engineering Michigan State University March 10th 2003 1 This document is intended to be tutorial in nature. No prior knowledge of image processing concepts is assumed. Interested readers should follow the references for advanced material on DCT. ECE 802 – 602: Information Theory and Coding Seminar 1 – The Discrete Cosine Transform: Theory and Application 1. Introduction
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Society for Industrial and Applied Mathematics The Discrete Cosine Transform∗ Gilbert Strang† Abstract. Each discrete cosine transform (DCT) uses N real basis vectors whose components are π cosines. In the DCT-4‚ for example‚ the jth component of vk is cos(j + 1 )(k + 1 ) N . These 2 2 basis vectors are orthogonal and the transform is extremely useful in image processing. If the vector x gives the intensities along a row of pixels‚ its cosine series ck vk has the coefficients ck = (x‚ vk )/N . They are
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Stock Market Model (Sine Curve) Sine curve is a technique used in everyday life. Whether it be from sound waves‚ to electrical curves‚ or light waves‚ sine curve is all around us. One place that is hugely affected by sine curve is the STOCK MARKET. The stock market is where “ publicly held companies are issued or traded through either exchanged or over-the-counter market”(investopedia.com). The purpose of using sine curve is to show whether or not the market is a cycle mode or a trend mode
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Direction Cosine Matrix IMU: Theory William Premerlani and Paul Bizard This is the first of a pair of papers on the theory and implementation of a direction-cosine-matrix (DCM) based inertial measurement unit for application in model planes and helicopters. Actually‚ at this point‚ it is still a draft‚ there is still a lot more work to be done. Several reviewers‚ especially Louis LeGrand and UFO-man‚ have made good suggestions on additions and revisions that we should make and prepared some figures
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cos11π/12 cos(x/2) = ± √((1+cosx)/2) we use this Half-Angle Formula to evaluate it. Since in this question‚ 11π/12 is in the Quadrant II‚ so cos(11π/12) should be negative. cos11π/12 = – √((1+cos(11π/6))/2) = – √((1+(√3/2))/2) to simplify it‚ both sides multiply by 2‚ – √(((1+(√3/2))(2))/((2)(2))) = – √((2+(√3))/4) You should know what cos(11π/6) is‚ and you just plug in the number and you should get the answer. (√3 – i)-10 We are using De Moivre’s Theorem to solve this problem
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