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Class Note for MATH 1330 at UH first

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 17 views.

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Date Created: 02/06/15
OddNumbered Answers to Exercise Set 51 Trigonometric Functions of Real Numbers 1 csct7 cost secl tanl77 cotl77 3 sinl csct cost7 tanl cotl 7 5 sint7 cscl7 cost7 sect7 tanl 7 sinl77 054077 0051 secl cotl7 Math 1330 Precalculus The University of Houston 11 13 15 17 19 21 23 25 27 29 31 33 35 37 m a a i 14 a 72 J5 a 7 a 0 a Undefined J5 a 7 a 1 71 asco isecltrgt seem asco 1 tanl b 2 b Undefined b J5 J b T b 2 b NIH b alt b Canlinued an the nexlpage Solutions to Chapter 5 Exercises OddNumbered Answers to Exercise Set 51 Trigonometric Functions of Real Numbers Notes for 3945 The symbol means therefore QED is an abbreviation for the Latin term Quod Erat Demonstrandum Latin for which was to be demonstrated and is frequently written when a proof is complete 39 Two methods of proof are shown Either method is sufficient Method 1 Work with the lefthand side and show that it is equal to the righthand side 7 cosl Sec71tanl 17 sin7l LeftHand Side RightHand Side 0054 sec7ttan7t lisin7t cost lsint cost Ilisint 1sint lisint costlisint lisin2t 7 costlisint 7 0052t lisint cost 1 isint cost cost sect7tant sec7t tan7t cos7l TIM sec it tan7l QED Math 1330 Precalculus The University of Houston Method 2 Work with the righthand side and show that it is equal to the lefthand side sec7ttan7l LeftHand Side RightHand Side 0054 sec4 tant lisin7t Sectitant 1 7 sint cost cost lisint cost lisint1sint cost 1sint lisin2 t cost1 sint 0052t cost1 sint cost lsint 0054 lisin7t sec7ttanil QED Continued on the nexlpage Solutions to Chapter 5 Exercises OddNumbered Answers to Exercise Set 51 Trigonometric Functions of Real Numbers 41 Two methods of proof are shown Either method is Method 2 Work with the righthand side and show sufficient that it is equal to the lefthand side Method 1 Work with the lefthand side and show SinU 1 0054 that it is equal to the righthand side cos it 71 51314 sint 7 1cosl LeftHand Side RightHand Side cos 1 sin I I Sint 1cost LeftHand Side RightHand Side S 1 sinrt sint 1 0054 1 cost cost1 sint sint sint 1 cost 1 cost cost1 sint 1cost sint Icost1 1cos2t cost1 cost1 sint1cost sintcost1 sin2t coszt1 sint1cost 7 sintcost1 sint 7 1cos2t 1cost sm cos 1 Sint ZEUS cost1 cos sin t 7551 cos 1 m sint 7 1cosl ED sint 7 1cosl cost1 7 sinl QED Math 1330 Precalculus The University of Houston Solutions to Chapter 5 Exercises OddNumbered Answers to Exercise Set 51 Trigonometric Functions of Real Numbers 1sect sinl47 1cosl27 43 csc it smltanl W 2cscl 47 LeftHand Side RightHand Side LeftHand Side RightHand Side lsec7t sm7ttanit sint47 1cost27 2050t47 0504 1cost27 sint 67 7 sint 1 cost 1 71cost4r sint 1 colst sin2t1cost2 ism sint1 cost cost1 Sin2t12005tcos2t cost sint1cost 1 isint 1sin2tcoszt2ost cost1 isint Slnt1cost cost 1 112ost sintcostsint sint1cost 0050 7 2 2005t sintcost ism t 7W cos t cos I t it t 7 21cost 7 sm an 7 sint1 cost sinttant 2 1sect Sinltitgttanltitgt sint C71 2050t QED 2050t 47 sint 47 1 cost 27 2 t 4 1cost27 sint67 csc QED Math 1330 Precalculus The University of Houston Solutions to Chapter 5 Exercises

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