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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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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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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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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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
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English Project Write-up Vengeance by Ayo Olaosebikan The literary book Vengeance by Ayo Olaosebikan is a praise worthy attempt at a playwright. Subject Matter Is or the ideas contained in a story or novel. There are usually specific ideas in a story. The subject matter is vengeance and perseverance. Summary /Plot Plot is a sequential or complex arrangement or development of events in a novel. It is everything that happens in a story and why and how it happened. The plot usually
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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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or not there is a factual causal connection between the injuries inflicted upon X during the fight and the eventual loss of X’s business‚ we need to look at the method of the conditio sine qua non theory and determine if there was actually a factual causal nexus. According to Van der Merwe and Olivier‚ conditio sine qua non theory is when an act is the cause of a result if the act cannot be thought away without the result also disappearing. This means that for an act to be the cause of a result‚ the
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Definition: A tort‚ in common law jurisdictions‚ is a civil wrong which unfairly causes someone else to suffer loss or harm resulting in legal liability for the person who commits the tortious act‚ called a tortfeasor. Tort is derived from the latin word “Tortum”. Although crimes may be torts‚ the cause of legal action is not necessarily a crime as the harm may be due to negligence which does not amount to criminal negligence. The victim of the harm can recover their loss as damages in a lawsuit
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1. I. Cause in fact‚ sine qua non R. To prove the defendant negligent‚ one has to prove that the plaintiff’s injuries would not have happened if the defendant did not place their foot on the accelerator before being rear-ended. Evidence needs to be shown that if the defendant did not move his car slightly‚ his car would not have been pushed out further into oncoming traffic and thus hitting and injuring the plaintiff. A. Because Burg’s foot was off the accelerator at the time of impact‚ it
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