Give a reason why Sin2 +Cos2 =1 I have been able to prove the a.pdf

•

0 likes•9 views

Give a reason why Sin2 ?+Cos2 ? =1 I have been able to prove the above but the reason I gave when I wrote Sin2 ?+Cos2 ? =1 Solution To prove that sin^2 theta +cos^2theta =1 Proof: Let theta = A, for A for the sake of typing friendliness. The geometrical definition of the sine of A is the ratio of the length opposite side of the angle A , to hypotenus of a right angled triangle whose angles are A, right angle and right angle -A . In the same right angled triangle cosine of A (or cos A) is the ratio adjascent side to the angle A to the hypotenus. So if ABC is a tringle with a right angle at B, then sineA = BC/AC and cosineA = AB/AC, by definition. Proof: Since the triangle is right angled, the Pythagorus theorem holds . Therefore, BC^2+AB^2=AC^2. Dividing both sides of the equatiob by AC^2, we get: BC^2+AB^2 = AC^2/AC^2 or sine ^2A+cosine^2A = 1 or (sineA)^2+(cosineA)^2 =1.This is a trigonometric identity. And and identity. So it holds for all values of A.So your doubt must be cleared as now it stands proved that (sineA)^2+(cosineA)^2 =1 is an identity..

Education

Similar to Give a reason why Sin2 +Cos2 =1 I have been able to prove the a.pdf

Congruence of Triangle 1.pptx Maths, Triangles for GRADE 8

C2.0 Triangles

Trigonometry

Math12 lesson2

Introduction To Trigonometry

Priyanka Sahu

Math12 lesson9

dylanxclusive

Math12 lesson9

KathManarang

Euclidean geometrynotes

Luis Alberto Evangelista Duran

Trignometry

Karan Singh Rawat

Introduction to trignometry

Krishna Raj

Law Of Sines; Powerpoint

guesta69721

Trigonometry

Priyanka Sahu

The PowerPoint presentation is on the "BASICS OF TRIGONOMETRY". It includes the -- 1) Definition of Trigonometry, 2) History of Trigonometry and its Etymology, 3) Angles of a Right Triangle, 4) About different Trigonometric Ratios, 5) Some useful Mnemonics to remember the Trig. ratios, 6) Theorem, which states that -- "Trigonometric Ratios are same for the same angles" 7) Trigonometric Ratios for some specific/ standard angles.

Yogie.pptx trigonometry kvs

Cogruence

sagar

TRIGONOMETRY

Shivam goyal ix e

Geometry the congruence of triangles

Madhavi Mahajan

Quadrilaterals

Home

Mathsproject 140209091923-phpapp01

moonstepper devesh

Similar to Give a reason why Sin2 +Cos2 =1 I have been able to prove the a.pdf (20)

Congruence of Triangle 1.pptx Maths, Triangles for GRADE 8

C2.0 Triangles

Trigonometry

Math12 lesson2

Introduction To Trigonometry

Math12 lesson9

Euclidean geometrynotes

Trignometry

Introduction to trignometry

Law Of Sines; Powerpoint

Trigonometry

Yogie.pptx trigonometry kvs

Cogruence

sagar

TRIGONOMETRY

Shivam goyal ix e

Geometry the congruence of triangles

Quadrilaterals

Mathsproject 140209091923-phpapp01

More from ammanelectronic

Give five latest and uncommon research topics in intelligent vehicular networks. Solution 1. Multimedia Services 2.Routing , Challenges in Security and Navigation Systems 3.Assisted geographic routing in urban environment. 4.Vehicular Wireless Medium Access Control 5.Automotive Electronics and Automatic Control 6.Traffic and Intelligent Transport System in Vehicular Networks 7.Cognitive and Context-aware Intelligence.

Give five latest and uncommon research topics in intelligent vehicul.pdf

ammanelectronic

Give examples of teams you have been on that are poor or excellent .pdf

ammanelectronic

Give critics on SULLIVAN hospital case study visioning process Solution CEO has initiated changes due to concerns of market share loss and decreasing patient satisfaction. CEO and president of the other associated hospital have difference personalities and leadership styles but appear to work well together. The work in the hospitals appear highly compartmentalized. Hospital managers lacks access to operational data. Does not appear that there are common definitions of critical objectives. TQM was selected as the cure without much analysis or diagnosis. Hospital\'s mission is not clear. Drivers for change include competition, encouragement by government agencies to adopt TQM, customer dissatisfaction. Unclear when or who engaged the large consulting firm on the work redesign project. Will this work conflict with Donald Fulton\'s effor. Hospital policies seem restrictive and overly limiting. Prevent taking appropriate actions by the best person to assess the need..

Give critics on SULLIVAN hospital case study visioning processSo.pdf

ammanelectronic

Give an example of an export and an import Solution Export: A commodity that is availanle in surplus in a country and is in great demand outside the country will be considered for exports. By exports foreign currency enters the local market and the currency value starts to increase. The country can make good money by practising exports. Example: US exports a lot of material goods like commercial aircrafts, industrial machines, semiconductors and medical equipments etc. Import: Import is a commodity that flows into the country as a result of either government direct purchase or traders purchase from other nations. Imports happen when the home country lacks the necessary resources either to naturally produce or the artificially manufacture the same. Example : US imports include computer accessories, telecommunication equipment, apparel etc..

Give an example of an export and an importSolutionExport A co.pdf

ammanelectronic

Give an example of two divergent sequences X and Y such that: a.) their sum X + Y converges b.) their product XY converges. Solution a) Make the sum constant, so that will guarantee that the series converges. For instance, xn can be the sequence (1,-1,1,-1,.....) and yn can be the sequence (-1,1,-1,1,....) so that th sum is the constant sequence 0. b) Again, the same example as above will have the product sequence to be constant at -1..

Give an example of two divergent sequences X and Y such that a.) .pdf

ammanelectronic

Give an example of a non-Abelian group that has exactly four elements of order 10. Solution D10 is isomorphic to the semidirect product Z5?Z2. Interestingly, the unicode description of ? is \"right normal factor semidirect product\", even though all the references I have seen that use the symbol use it to refer to the factor on the _left_ being the normal subgroup. the order of fr in D10 is 2, not 10: (fr)2 = frfr = ffr-1r = e. Indeed, D10 contains no elements of order 10. The easiest way to do this is to note that Z10 under addition contains exactly four elements of order 10 - namely, 1, 3, 7, and 9. Of course, Z10 is abelian, but you know that D20 contains a normal subgroup isomorphic to Z10, and is not abelian. Thus, in D20, r, r3, r7, and r9 are elements of order 10, and it is easy to verify that D20 has no other elements of order 10. So that would be the simplest example..

Give an example of a non-Abelian group that has exactly four element.pdf

ammanelectronic

Give an example of a function fN-Z that is surjective but not inje.pdf

ammanelectronic

Give an Euler Circuit through the graph by listing the vertices in t.pdf

ammanelectronic

Give 5 research project topics on SMART BUILDINGS TECHNOLOGY using sensors. Solution here are the ongoing projects 1) . Wireless Sensor Networks Technology for Smart Buildings. ( pre court energy efficieny center stanford university) . 2) .intilligent buliding management & A Sense Diary System for Intelligent Buildings( university of manchester) 3) . Bringing the Semantic Sensor Web to Smart Buildings( Knowledge and Data Engineering Group, Trinity College Dublin) 4) .Intelligent and Energy Efficient Buildings (virginia) 5). electricity and water fixtures in house system ( virginia).

Give 5 research project topics on SMART BUILDINGS TECHNOLOGY using s.pdf

ammanelectronic

Give 4 reasons while Indonesia and Australia have to work together even with the latest spat between the two Give 4 reasons why third world countries have misconceptions about the IMF Solution Give 4 reasons while Indonesia and Australia have to work together even with the latest spat between the two Answer: Following are the reasons behind the cooperation of Indonesia and Australia depsite the latest spat: Give 4 reasons why third world countries have misconceptions about the IMF Answer: Following are the reasons for third word countries misconceptions about the IMF:.

Give 4 reasons while Indonesia and Australia have to work together e.pdf

ammanelectronic

Georgia works as a florist.She has 93 roses to arrange in vases.Each.pdf

ammanelectronic

General thoughts on Civil Engineering. I Have a discussion Board on: Solution By the first look of the report card I was surprised to see that a developed economy like that of america has such a bad condition with its infrastructure. Trillions of investment are to be done in the infrastructure sector to get back in track and salvage the pride of the nation. The civil engineers have to enlighten the US citizens and law makers about the dire need for addressing the issues with infrastructure. ASCE has given a D+ in the latest report card and cited insufficient water ways, roads and urgent maintenance requirement for existing bridges and dams. The media is the best way to for civil engineers to put forward these issues to the general public. All the requirements and and consequences are to be showcased with clarity so that the public and law makers can understand its importance. The public can be educated about the importance of infra structure and the problems and disasters they may face if proper investments are not done within time..

General thoughts on Civil Engineering.I Have a discussion Board on.pdf

ammanelectronic

George performed a hypothesis test. Luis checked George Solution I\'m sorry, but I grew up with PEMDAS! Please Excuse My Dear Aunt Sally Parentheses, Exponents, Multipication AND Division, Addition AND Subtraction (They are interchangeable) If you take this into account; 6/2(1+2) Parentheses: 1+2 = 3 Exponents: Obvious there are none. Multipication AND Division: 6 DIVIDED by 2 = 3 Now all you are left with is 3(3). 3 TIMES 3 is 9!.

George performed a hypothesis test. Luis checked GeorgeSolution .pdf

ammanelectronic

George Forbes operates a law office under the name George Forbes, Law Offices. On June 30, 2002, the balance sheet showed Cash $3,000, Accounts Receivable $1,200, Supplies $600, Office Equipment $5,900, Accounts Payable $3,400, and George Forbes, Capital, $7,300. During July the following transactions occurred: 1. Collected $1,000 of account receivable. 2. Paid $2,800 cash on accounts payable. 3. Earned fees of $7,500, of which $3,500 is collected in cash and the balance is due in August. 4. Purchased additional office equipment for $1,500, paying $500 in cash and the balance on account. 5. Paid salaries $1,600, rent for July $800, and advertising expenses, $250. 6. Withdrew $750 in cash for personal use. 7. Received $3,000 from the Bank of Montreal money borrowed on a note payable. 8. Incurred utility expenses for month on account, $275. Instructions: a) Beginning with June 30 balances, prepare a tabular analysis of the July transactions. The column headings should be as follows: Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital. (b) Prepare an income statement for July, a statement of owner\'s equity for July and a balance sheet at July 31 Solution Tabular analysis of the July transactions S.No. Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital Balance $ 3,000 + $ 1,200 + $ 600 + $ 5,900 = $ 3,400 + $ 7,300 1 $ 1,000 + $ (1,000) + + = + 2 $ (2,800) + + + = $ (2,800) + 3 $ 3,500 + $ 4,000 + + = + $ 7,500 4 $ (500) + + + $ 1,500 = $ 1,000 + 5 $ (2,650) + + + = + $ (2,650) 6 $ (750) + + + = + $ (750) 7 $ 3,000 + + + = $ 3,000 + 8 $ (275) $ (275) Ending Balance $ 3,525 + $ 4,200 + $ 600 + $ 7,400 = $ 4,600 + $ 11,125 Income Statement: Fees revenue $ 7,500 Less: Salaries Expenses $ (1,600) Less: Rent Expenses $ (800) Less: advertising expenses $ (250) Less: utility expenses $ (275) Net income $ 4,575 Statement of owner\'s equity Beginning balance $ 7,300 Net income $ 4,575 Less: Withdrawals $ (750) Ending balance $ 11,125 Balance sheet at July 31 Assets: Cash $ 3,525 Accounts Receivable $ 4,200 Supplies $ 600 Office Equipment $ 7,400 Total Assets $ 15,725 Liabilities Accounts Payable $ 4,600 Owner\'s equity $ 11,125 Total Liabilities and Equity $ 15,725 Tabular analysis of the July transactions S.No. Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital Balance $ 3,000 + $ 1,200 + $ 600 + $ 5,900 = $ 3,400 + $ 7,300 1 $ 1,000 + $ (1,000) + + = + 2 $ (2,800) + + + = $ (2,800) + 3 $ 3,500 + $ 4,000 + + = + $ 7,500 4 $ (500) + + + $ 1,500 = $ 1,000 + 5 $ (2,650) + + + = + $ (2,650) 6 $ (750) + + + = + $ (750) 7 $ 3,000 + + + = $ 3,000 + 8 $ (275) $ (275) Ending Balance $ 3,525 + $ 4,200 + $ 600 + $ 7,400 = $ 4,600 + $ 11,125 Income Statement: Fees revenue $ 7,500 Less: Salaries Expenses $ (1,600) Less: Rent Expenses $ (800) Less: advertising expenses $ (250) Less: utility expenses $ (275) Net income $ .

George Forbes operates a law office under the name George Forbes, La.pdf

ammanelectronic

General Journal Entry Worksheet Options to Choose from the Income Statement and Balance Sheet: -No Journal Entry Required -Accounts Payable -Accounts Receivable -Accumulated Depreciation -Advertising Expense -Allowance for Doubtful Accounts -Bad Debt Expense -Buildings -Cash -Contributed Capital -Cost of Goods Sold -Delivery Expense -Depreciation Expense -Dividends (Declared) -Dividends Payable -Equipment -Income Tax Expense -Income Tax Payable -Insurance Expense -Interest Expense -Interest Payable -Interest Receivable -Interest Revenue -Inventory -Land -Legal Expense -Notes Payable (long-term) -Notes Payable (short-term) -Notes Receivable -Office Expenses -Operating Expenses -Other Current Assets -Other Current Liabilities -Other Expenses -Other Noncurrent Assets -Other Noncurrent Liabilities -Other Revenue -Prepaid Insurance -Prepaid Rent -Purchases -Rent Expense -Rent Payable -Rent Revenue -Repairs and Maintenance Expense Solution.

General Journal Entry Worksheet Options to Choose from the Income St.pdf

ammanelectronic

Gary and Lakesha were married on December 31 last year. They are now preparing their taxes for the April 15 deadline and are unsure of their filing status. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answers and double click the box with the question mark to select their filling status. Solution Please give the complete details of the question to answer..

Gary and Lakesha were married on December 31 last year. They are now.pdf

ammanelectronic

G1 is the group of 2x2 non-singular matrices under matrix multiplica.pdf

ammanelectronic

Galaxy A is moving away from us with a speed of 0.70c relative to th.pdf

ammanelectronic

G. With recent growth in the number of U.S. households wired for cable television, major advertisers are now beginning to show an increased interest in cable advertising. Since its inception, cable television has offered advertisers relatively inexpensive rates and selective target audiences. For purposes of comparison, A.J. Bush and J.H. Leigh conducted a content analysis of television commercials on three major networks, ABC, CBS and NBC, and three of the more popular well established cable networks, CNN, ESPN and TBS. Once of the variables measured was the number of advertisements shown during prime time (7:00-10:00) and late night (10:00- 12:00A.A.M.) viewing segments on two weekday evenings during November 2003. The results are summarized in the table below. Prime-Time Late-Night Totals MAJOR NETWORKS ABC CBS NBC 94 90 86 69 84 94 163 174 180 CABLE NETWORKS TBS CNN ESPN 66 95 87 47 60 45 113 155 132 TOTALS 518 399 917 Suppose an advertisement is selected at random from advertisements shown on the two weekday evenings during November 2003. What is the probability that the advertisement selected: Prime-Time Late-Night Totals MAJOR NETWORKS ABC CBS NBC 94 90 86 69 84 94 163 174 180 CABLE NETWORKS TBS CNN ESPN 66 95 87 47 60 45 113 155 132 TOTALS 518 399 917 Solution Now this one is... [P(ABC and Late-Night) + P(CBS and Prime-Time)] / Total = (69 + 90) / 917 = .1734 or 17.34%.

G. With recent growth in the number of U.S. households wired for cab.pdf

ammanelectronic

Fundamentals of Corporate Finance Chapter 14 Introduction to Corporate Financing 1) Companies use what to forms to raise funds? Provide examples of each. 2) On average which do companies use more debt (loans) or equity (sell common stock)?. 3) What is another source of funding besides debt or equity?. 4) What are example of companies that had high debt ratios and fell into financial distress? 5) What is common stock? Define the associated accounts (Treasury stock, Issued shares, etc). 6) Charles Products has one stock issue in which it sold 10,000 shares to the public at $20 per share. Fill in the following table Common shares ($1 par value per share) _____________ Additional paid-in capital ___________ Retained earnings _____________ Net common equity $450,000. 7). What are stockholders entitled to, have control over and have approval on? 8) Describe the voting procedures. Include information on \"super majority\" and proxy voting. 9) What are the different classes of stock? How many classes do most companies have? 10). what is preferred stock? What is its characteristics? 11) Debt comes in many forms. Name and describe some of them. 12). Define prime rate. 13). what is a protective covenant? 14) Why is bundling and selling loans important?. 15) Name and describe two types of convertible securities. Solution 1) Company can raise funds by issuing the Debt (loans) or issuing the shares or equity on the financial markets. For e.g. Company X issues $10 million value, 10% coupon, 10 year maturity Long term Bonds to raise the capital in the bond markets and issue new shares of value $10 million in the capital markets to raise funds in the amount desired of $ 20 million. 2) On an average the companies uses more equity as compared to the bonds because there is no obligation to pay in equity as is required in the bonds. 3) Preferred share can also be used to raise funds. They provide regular dividends with lower required return than equity. 4)American Airlines,Eastmen Kodak. 5) A common stock is a security that represents ownership in the organisation which is issuing this common stock. Treasury stock is common stock repurchased by the issuer and is intended for retirement or resale to the public. Outstanding shares are the stock being purchased by the investors and held by them. Issued shares are the stock being issued by the firm and its equal to the sum of outstanding shares and Treasury stock. 6) Common shares: $10,000 Additional paid-in capital: $190,000 Retained earnings: $450,000-$200,000=$250,000 7) Stockholders are entitled to Dividends in addition they have voting power on major issues in the firm, have approval in the appointments of the Board of Directors, has right to sue for wrongful acts..

Fundamentals of Corporate Finance Chapter 14 Introduction to Corpora.pdf

ammanelectronic

More from ammanelectronic (20)