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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Exponential and Logarithmic Functions * Verify that the natural logarithm function defined as an integral has the same properties as the natural logarithm function earlier defined as the inverse of the natural exponential function. Integrals of Exponential and Logarithmic Functions Function | Integral | lnx | x ∙ lnx - x + c | logx | (x ∙ lnx - x) / ln(10) + c | logax | x(logax - logae) + c | ex | ex+c | ek∙x | 1 / k ∙ ek∙x + c | ax | ax / lna + c | xn | 1 / (n+1) ∙ xn+1 +
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Strength of an electromagnet AIM The aim of this experiment is to investigate how the strength of an electromagnet is affected by the size of the current flowing through its coils. YOU WILL NEED A large (15cm long) iron nail A metre of insulated copper wire 6 metal paper clips A power supply (0-6V dc) An ammeter (0-5A) Connecting leads with 4mm plugs WHAT TO DO Strip off about 5 cm of the insulation from each end of the wire. Set up the apparatus as shown in the diagram. Switch on the
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This play is a story between a French diplomat Rene Gallimard and a Chinese Peking opera singer Song Liling. In the year 1960‚ the French diplomat Rene Gallimard met Song Liling in a German ambassador’s house for the first time. With his fascination with Madame Butterfly‚ Gallimard fell in love with Song at the first sight‚ because he believed that Song was his submissive Madame butterfly. Days later‚ Gallimard was invited to Song’s apartment and began a love affair with Song. During this period
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Racism has been a huge problem over the centuries. Despite slavery being abolished in the nineteenth century‚ the general consensus of inferiority has been within the human race for all this time. However‚ not everyone had obtained this particular mindset. Towards the middle and later eighteenth century‚ there were in fact liberal thinkers that felt that the mindset that almost everyone contained in that time was a crime against humanity itself. In fact‚ there were even paintings made to represent
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As Barry Ritholtz‚ the CIO of Ritholtz Wealth Management‚ asserted‚ "Little white lies are told by humans all the time. Indeed‚ lying is often how we get through each day in a happy little bubble." Lying is woven into the fabric of society. Humanity spends so much time and energy justifying its actions and beliefs‚ that lying seems like the easy alternative‚ whether to themselves or to others‚ than simply delving into the "real reasons". That is at the heart of a lie and its mask may be used to gain
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Nihilistic Fools Many people idiotically believe they know everything about life; they make up their sets of beliefs and think they are above everyone. Nevertheless‚ the short story “Good Country People” by Flannery O’Connor demonstrates how even the most literate nihilistic person can be tricked by the simplest uneducated one. Joy/Hulga discovered that her believe in nothing‚ was in reality nothing that had rock-solid foundations. People such as Joy/Helga are allowed to go up to a pedestal by
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Tim Adams March 21‚ 2013 In the American society there are plenty of friends‚ but there is also the fair share of rivalries. There are also times where friendships turn into rivalry due to sequence of events. This is a common feat especially if two friends are competing for the same goal and one achieves it and the other does not. The higher the completion the worse the ending of the friendship can be. Even in America’s highest office this can happen. The most famous friendship between
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Diff. kinds of App. Software Word Processing software - Use this kind of tool to create worksheets‚ type letters‚ type papers‚ etc. Desktop Publishing software - Use this software to make signs‚ banners‚ greeting cards‚ illustrative worksheets‚ newsletters‚ etc. Spreadsheet software - Use this kind of tool to compute number-intensive problems such as budgeting‚ forecasting‚ etc. A spreadsheet will plot nice graphs very easily. Database software - Use this software to store data such as address
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There are several agencies around the world working to curtail art theft and recover stolen works. Sometimes called art-napping‚ art theft is usually for the purpose of resale or for ransom. Art theft. There is a multitude of art thefts recorded. The Federal Bureau of Investigations or the FBI estimates that about six billion dollars’ worth of artworks is stolen annually. The world of art theft is thriving. A piece of artwork may just seem like shapes and colors on a canvas‚ but it’s so much more
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