Submitted By carter1

Words 897

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Words 897

Pages 4

The characteristics of an average 25 year old American male are:

Height: 70 inches (1.778 m) Palm to Shoulder length: 23 inches (0.5842 m) Shoulder to Hip Length: 24.75 inches (0.62865 m) Hip to Ankle Length: 31.5 inches (0.800 m)

For Inclined Pushups, the following objects will be used for the calculations:

Standard Chair Height: 18 inches (0.457 m) Standard Counter Top Height: 32 inches (0.813 m)

I will calculate the resultant forces in hand of a human using the principles of engineering statics, Newton's Second Law of Motion, and the assumptions stated above.. The metric system will also be…...

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...Trigonometry Review with the Unit Circle: All the trig. you’ll ever need to know in Calculus Objectives: This is your review of trigonometry: angles, six trig. functions, identities and formulas, graphs: domain, range and transformations. Angle Measure Angles can be measured in 2 ways, in degrees or in radians. The following picture shows the relationship between the two measurements for the most frequently used angles. Notice, degrees will always have the degree symbol above their measure, as in “452 ° ”, whereas radians are real number without any dimensions, so the number “5” without any symbol represents an angle of 5 radians. An angle is made up of an initial side (positioned on the positive x-axis) and a terminal side (where the angle lands). It is useful to note the quadrant where the terminal side falls. Rotation direction Positive angles start on the positive x-axis and rotate counterclockwise. Negative angles start on the positive x-axis, also, and rotate clockwise. Conversion between radians and degrees when radians are given in terms of “ π ” DEGREES RADIANS: The official formula is θ ⋅ π 180 = θ radians Ex. Convert 120 into radians SOLUTION: 120 ⋅ π 180 = 2π radians 3 RADIANS DEGREES: The conversion formula is θ radians ⋅ 180 π =θ Ex. Convert π 5 into degrees. SOLUTION: π 180 180 ⋅ = = 36 5 π 5 For your own reference, 1 radian ≈ 57.30 A radian is defined by the radius of a circle. If you measure off...

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...Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that p 0 < q < or 0° < q < 90° . 2 Unit circle definition For this definition q is any angle. y ( x, y ) hypotenuse opposite y 1 x q x q adjacent sin q = opposite hypotenuse adjacent cos q = hypotenuse opposite tan q = adjacent hypotenuse opposite hypotenuse sec q = adjacent adjacent cot q = opposite csc q = sin q = y =y 1 x cos q = = x 1 y tan q = x 1 y 1 sec q = x x cot q = y csc q = Facts and Properties Domain The domain is all the values of q that can be plugged into the function. sin q , q can be any angle cos q , q can be any angle 1ö æ tan q , q ¹ ç n + ÷ p , n = 0, ± 1, ± 2,K 2ø è csc q , q ¹ n p , n = 0, ± 1, ± 2,K 1ö æ sec q , q ¹ ç n + ÷ p , n = 0, ± 1, ± 2,K 2ø è cot q , q ¹ n p , n = 0, ± 1, ± 2,K Period The period of a function is the number, T, such that f (q + T ) = f (q ) . So, if w is a fixed number and q is any angle we have the following periods. sin ( wq ) ® cos (wq ) ® tan (wq ) ® csc (wq ) ® sec (wq ) ® cot (wq ) ® T= T T T T T 2p w 2p = w p = w 2p = w 2p = w p = w Range The range is all possible values to get out of the function. csc q ³ 1 and csc q £ -1 -1 £ sin q £ 1 -1 £ cos q £ 1 sec q ³ 1 and sec q £ -1 -¥ < tan q < ¥ -¥ < cot q < ¥ © 2005 Paul Dawkins Formulas and Identities Tangent and Cotangent Identities sin q cos q tan q = cot q = cos q sin q Reciprocal Identities 1 1 csc q = sin q = sin q csc q 1 1 sec......

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...____________________ of one unit in the same direction as [pic] 12. [pic] and [pic] are ___ vectors. 12. __________________ 13. 2i – 3j is called a 13 ___________ _______________. 14. The trig form of a vector with 14._______________________ magnitute [pic] and direction angle [pic] is Sec. 6.4 (Vectors) 15. If [pic] = [pic] and [pic] = [pic] u [pic] v = 15._______________________ 16. If [pic] = [pic] and [pic] = [pic] to find the angle between the two vectors use: 16.________________________ (not Law of Cosines) Sec. 6.5 (Complex numbers) 17. The rectangular form or standard form of a complex number is a + bi, this i = 17.________________________ 18. The absolute value of a complex number a + bi is [pic] = 18. ________________________ 19. Given the complex number a + bi, let [pic] be the angle from the positive x-axis (measured counterclockwise) to the line segment connecting the origin and the point (a,b). To find [pic] use ________________________ r = ________________________ cos [pic] = ________________________ sin [pic] = ________________________ 20. If you are given a complex number in trig form, what are the formulas to find: a = ________________________ and b = ________________________ 21. [pic] and [pic] then [pic]=......

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...deinking Paper recycling processes can use either chemical or mechanical pulp. By mixing with water and applying mechanical action the hydrogen bonds in the paper can be broken and fibres separated again. Most recycled paper contains a proportion of virgin fibre in the interests of quality. Generally deinked pulp is of the same quality or lower than the collected paper it was made from. There are three main classifications of recycled fibre:. Mill Broke or Internal Mill Waste – this incorporates any substandard or grade-change paper made within the paper mill which then goes back into the manufacturing system to be re-pulped back into paper. Such out-of-specification paper is not sold and is therefore often not classified as genuine reclaimed recycled fibre. However, most paper mills have been recycling their own waste fibre for many years, long before recycling become popular. Preconsumer Waste – this is offcuts and processing waste, such as guillotine trims and envelope blank waste. This waste is generated outside the paper mill and could potentially go to landfill, and is a genuine recycled fibre source. Also includes de-inked preconsumer (recycled material that has been printed but did not reach its intended end use, such as waste from printers and unsold publications).[7] Postconsumer waste – this is fibre from paper which has been used for its intended end use and would include office waste, magazine papers and newsprint. As the vast majority of this paper has......

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...Algebra II Trig Test #1 Short Answer 1. The screen below shows the graph of a sound recorded on an oscilloscope. What is the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) [pic] 2. Find the measure of the angle below. [pic] 3. A sound wave has a period of 0.02 seconds and an amplitude of 3 units. Sketch a graph of the sound wave. Sketch the angle in standard position. 4. 55º 5. –150º 6. Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position. 7. Find the exact value of cos 300º and sin 300º. Write the measure in radians. Express the answer in terms of π. 8. 320º 9. 45º Write the measure in degrees. 10. [pic] radians 11. –[pic] radians 12. Find the degree measure of an angle of 4.23 radians. 13. Find the exact values of [pic] and [pic]. 14. Use the circle below. Find the length s to the nearest tenth. [pic] 15. A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel? Use the graph of y = sin θ to find the value of sin θ for each value of θ. 16. 270º [pic] 17. [pic][pic] radians [pic] 18. Find the period of the graph shown below. [pic] 19. Sketch one cycle of y = 4 sin 4θ. 20. Write the equation for the sine function shown......

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...Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that p 0 < q < or 0° < q < 90° . 2 Unit circle definition For this definition q is any angle. y ( x, y ) hypotenuse y opposite 1 q x x q adjacent opposite hypotenuse adjacent cos q = hypotenuse opposite tan q = adjacent sin q = hypotenuse opposite hypotenuse sec q = adjacent adjacent cot q = opposite csc q = y =y 1 x cos q = = x 1 y tan q = x sin q = 1 y 1 sec q = x x cot q = y csc q = Facts and Properties Domain The domain is all the values of q that can be plugged into the function. sin q , q can be any angle cos q , q can be any angle 1ö æ tan q , q ¹ ç n + ÷ p , n = 0, ± 1, ± 2,K 2ø è csc q , q ¹ n p , n = 0, ± 1, ± 2,K 1ö æ sec q , q ¹ ç n + ÷ p , n = 0, ± 1, ± 2,K 2ø è cot q , q ¹ n p , n = 0, ± 1, ± 2,K Range The range is all possible values to get out of the function. csc q ³ 1 and csc q £ -1 -1 £ sin q £ 1 -1 £ cos q £ 1 sec q ³ 1 and sec q £ -1 -¥ < tan q < ¥ -¥ < cot q < ¥ Period The period of a function is the number, T, such that f (q + T ) = f (q ) . So, if w is a fixed number and q is any angle we have the following periods. 2p w 2p = w p = w 2p = w 2p = w p = w sin ( wq ) ® T= cos (wq ) ® T tan (wq ) ® T csc (wq ) ® T sec (wq ) ® T cot (wq ) ® T © 2005 Paul Dawkins Formulas and......

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...History of Trigonometric Functions Mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been a fundamental to the advances in science, engineering, and philosophy. It has evolved from simple counting, measurement and calculations, and shapes through the application of abstraction, logic, and complex trigonometric functions. Trigonometric functions are the functions of angles. They relate the angles of a triangle to the lengths of its sides. These functions are important in the study of triangles and modeling periodic phenomena, among many other applications. Most people are familiar with the trigonometric functions of sine, cosine, and tangent. The functions of sine cosine and tangent are used in a variety of ways from finding refraction angles of waves to finding the angles or sides in a triangle. Two main mathematicians that have helped improve the knowledge of trigonometric functions are Aristarchus of Samos and Hipparchus. Both of these men are from the B.C. era but both made advancements with trigonometric functions using what they had. Each of the mathematicians has impacted the world of math greatly and also has influenced society today. Aristarchus of Samos was one of the mathematicians who contributed to trigonometric functions and was born in 310 BC in Samos Greece. As an astronomer Aristarchus studied the earth and material universe beyond earth’s atmosphere. Like his predecessors Aristarchus of Samos believed in......

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...Theft of intellectual property at Trig Enterprises, Inc. Librium Author Note This paper is being submitted on November 19, 2015, for Kevin Harris’s ISSC351-Computer Forensics course. Trig Enterprises, Inc. is an international supplement dietary company and it is located in St. Louis. In 2006, a newly designed and ready to manufacture product was comprised. One of the Trig’s competitors released the very similar product on the market before Trig did. A short time later, it’s found that the competitor’s website was very similar to the Trig’s website. This raised a flag about the company’s 22-year old graphics designer, Kevin K. The CEO of the company, contacted the IT department to monitor his computer/laptop and email accounts, his VOIP phone and wireless devices if there was any suspicious activity. IT department scanned his emails for the last a couple of years. No questionable information found. IT department continue to monitor his devices and emails for about three months. While he was under surveillance, another similar event happened. This time a product on the manufacturing process was compromised. This caused the company millions of dollars. CEO did not a choice but the contact the local police. After contacting the local police, the police’s compu In 2006, 22-year old graphics designer, Kevin K., suspected to leak the extremely important corporate data to its competitors. The owner of the company tries to solve the issue with...

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...th Trying trig Everything you need to Know By: Noah Gregory subject Page Radians & Degree Measure 3 Unite Circle 4 Right Triangle Trig 5-7 trig functions of any angle 8-10 graphs 11-15 using fundamental trig identities 16-17 verifying trig identities 18-20 solving trig equations 21-23 sum & difference formulas 24 law of sines 25-27 laws of cosines 28-29 vectors 30-31 Definitions 32-33 Radians & Degree Measure Converting radians to degrees: To convert radians to degrees, we make use of the fact that p radians equals one half circle, or 180º. [pic] This means that if we divide radians by p, the answer is the number of half circles. Multiplying this by 180º will tell us the answer in degrees. So, to convert radians to degrees, multiply by 180/p, like this: [pic] To convert degrees to radians, first find the number of half circles in the answer by dividing by 180º. But each half circle equals p radians, so multiply the number of half circles by p. Example 1 (p= Pie) 10º in radians would be 18 Radians. First put your degree over 1 R= 10°/1 (p/180°) Next multiply & divide & you will get 18p ------------------------------ Example 2 1.4 Radians would be 80.2° put your radian over 1 D= 1.4/1 (180°/p) Next multiply & divide & you will get 80.2 ° Unite......

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