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Speedy Guide To The Precalculus Responsibilities

 Quick Guide To The Precalculus Tasks Dissertation

QuickВ GuideВ toВ theВ PrecalculusВ TasksВ

TaskВ 1В

A.   Define the six trigonometric functions,  including diagrams  1 .   Right triangle definitions.  ​

SectionВ 5. 2В

installment payments on your   Unit circle definitions.  ​

SectionВ 5. 3В

3.   Explain the relationship.  ​

SectionsВ 5. 2В andВ 5. 3В

a.   Explain memory tricks for trig.   ​

SectionВ 5. 2В

ThisВ taskВ comesВ almostВ directlyВ fromВ theВ textВ withВ aВ supportingВ sentenceВ orВ twoВ aboutВ howВ valuesВ fromВ regularВ andВ rightВ triangleВ areВ similarВ orВ different. В В В

TaskВ 2В В

A.  Write the Pythagorean identities.  ​

SectionВ 5. 2В

ThisВ partВ comesВ directlyВ fromВ theВ text. В

B.  Prove a trigonometric identity.  ​

SectionВ 6. 1, В ExampleВ 5В

SomeВ studentsВ workВ withВ thisВ proofВ asВ ifВ itВ wereВ anВ equation, В changingВ bothВ sidesВ ofВ theВ proofВ statementВ untilВ theyВ arriveВ atВ theВ conclusion. В Instead, В studentsВ shouldВ workВ withВ justВ oneВ sideВ ofВ theВ statementВ andВ showВ algebraicallyВ thatВ itВ canВ beВ transformedВ toВ equalВ theВ otherВ sideВ ofВ theВ statement. В В ProvingВ aВ formulaВ involvesВ carefullyВ breakingВ itВ downВ toВ theВ smallestВ possibleВ stepsВ andВ justifyingВ eachВ stepВ withВ aВ ruleВ orВ axiomВ fromВ arithmetic, В algebra, В orВ trigonometry. В В

TaskВ 4В

Given:  ​

y​

= ​

A ​

cos(​

Bx​

­ ​

C​

) + ​

D​

and data about depth and time of tides,  model the problem and apply the model.   ​

SectionВ 5. 5, В ExampleВ 9, В possiblyВ ExampleВ 6В

ForВ theВ partВ whereВ studentsВ mustВ findВ aВ rangeВ ofВ safeВ valuesВ forВ theВ lastВ partВ ofВ theВ task, В someВ studentsВ incorrectlyВ findВ theВ onlyВ firstВ safeВ timeВ toВ dockВ theВ boat, В insteadВ ofВ theВ fullВ rangeВ ofВ timesВ whenВ itВ isВ safeВ toВ dockВ theВ boat. В В PurelyВ graphicalВ solutionВ methodsВ areВ acceptableВ ifВ carefullyВ illustratedВ andВ explained. В В PurelyВ algebraicВ solutionВ methodsВ areВ alsoВ acceptableВ ifВ allВ stepsВ areВ justifiedВ andВ theВ " otherВ answer” forВ theВ inverseВ cosineВ isВ carefullyВ explained. В В В

TaskВ 3В

A1. В В ExplainВ howВ theВ complexВ numbersВ extendВ theВ realВ numbers.  ​ SectionВ 1. 4В

A2.   Explain the parts of a complex number.   ​

SectionВ 1. 4В...

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