Simplify trigonometric expression using trigonometric identities The Next CEO of Stack OverflowSimplify a trigonometric expressionbest way to detect the trigonometric identites that shall work on a given expression so as to simplify it accordingly?Trigonometric Identities HWsimplyfing trigonometric expression using phase shift identitiesSimplify the expression using trigonometric identitiesHow to simplify trigonometric expressionSimplify Trigonometric ExpressionHow to simplify a trigonometric expression with the identitiesTrigonometric IdentitiesHow to evaluate this trigonometric expression

How do I secure a TV wall mount?

Is it reasonable to ask other researchers to send me their previous grant applications?

Variance of Monte Carlo integration with importance sampling

How can the PCs determine if an item is a phylactery?

Why did Batya get tzaraat?

What are the unusually-enlarged wing sections on this P-38 Lightning?

Is a distribution that is normal, but highly skewed, considered Gaussian?

Why do we say “un seul M” and not “une seule M” even though M is a “consonne”?

Could you use a laser beam as a modulated carrier wave for radio signal?

Is it OK to decorate a log book cover?

Why does freezing point matter when picking cooler ice packs?

Post-doc vs. Assistant Professor choice, but neither ideal

Why did early computer designers eschew integers?

Can tesla valve concept work for electrons?

What does this strange code stamp on my passport mean?

Mathematica command that allows it to read my intentions

Does the Idaho Potato Commission associate potato skins with healthy eating?

Man transported from Alternate World into ours by a Neutrino Detector

My boss doesn't want me to have a side project

An elegant way to define a sequence

How can a day be of 24 hours?

Trying to insert a background image via TikZ results in extra white-space around the corners

Compensation for working overtime on Saturdays

Is it possible to make a 9x9 table fit within the default margins?



Simplify trigonometric expression using trigonometric identities



The Next CEO of Stack OverflowSimplify a trigonometric expressionbest way to detect the trigonometric identites that shall work on a given expression so as to simplify it accordingly?Trigonometric Identities HWsimplyfing trigonometric expression using phase shift identitiesSimplify the expression using trigonometric identitiesHow to simplify trigonometric expressionSimplify Trigonometric ExpressionHow to simplify a trigonometric expression with the identitiesTrigonometric IdentitiesHow to evaluate this trigonometric expression










2












$begingroup$


I have the trigonometric expression: $$2sin x +2sin left(fracpi 3 -xright) $$
and it should simplified in: $$sin x + sqrt 3 cos x$$ but I do not know what formulas to apply. Could you tell me how to simplify it?






trigonometry







share|cite|improve this question









New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    mathworld.wolfram.com/ProsthaphaeresisFormulas.html
    $endgroup$
    – lab bhattacharjee
    5 hours ago










  • $begingroup$
    Just between us: IMO the two expressions are of the same complexity.
    $endgroup$
    – Yves Daoust
    5 hours ago















2












$begingroup$


I have the trigonometric expression: $$2sin x +2sin left(fracpi 3 -xright) $$
and it should simplified in: $$sin x + sqrt 3 cos x$$ but I do not know what formulas to apply. Could you tell me how to simplify it?






trigonometry







share|cite|improve this question









New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    mathworld.wolfram.com/ProsthaphaeresisFormulas.html
    $endgroup$
    – lab bhattacharjee
    5 hours ago










  • $begingroup$
    Just between us: IMO the two expressions are of the same complexity.
    $endgroup$
    – Yves Daoust
    5 hours ago













2












2








2





$begingroup$


I have the trigonometric expression: $$2sin x +2sin left(fracpi 3 -xright) $$
and it should simplified in: $$sin x + sqrt 3 cos x$$ but I do not know what formulas to apply. Could you tell me how to simplify it?






trigonometry







share|cite|improve this question









New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I have the trigonometric expression: $$2sin x +2sin left(fracpi 3 -xright) $$
and it should simplified in: $$sin x + sqrt 3 cos x$$ but I do not know what formulas to apply. Could you tell me how to simplify it?






trigonometry




trigonometry






share|cite|improve this question









New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 5 hours ago









MarianD

1,9521617




1,9521617






New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 5 hours ago









zaz9999zaz9999

112




112




New contributor




zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






zaz9999 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • $begingroup$
    mathworld.wolfram.com/ProsthaphaeresisFormulas.html
    $endgroup$
    – lab bhattacharjee
    5 hours ago










  • $begingroup$
    Just between us: IMO the two expressions are of the same complexity.
    $endgroup$
    – Yves Daoust
    5 hours ago
















  • $begingroup$
    mathworld.wolfram.com/ProsthaphaeresisFormulas.html
    $endgroup$
    – lab bhattacharjee
    5 hours ago










  • $begingroup$
    Just between us: IMO the two expressions are of the same complexity.
    $endgroup$
    – Yves Daoust
    5 hours ago















$begingroup$
mathworld.wolfram.com/ProsthaphaeresisFormulas.html
$endgroup$
– lab bhattacharjee
5 hours ago




$begingroup$
mathworld.wolfram.com/ProsthaphaeresisFormulas.html
$endgroup$
– lab bhattacharjee
5 hours ago












$begingroup$
Just between us: IMO the two expressions are of the same complexity.
$endgroup$
– Yves Daoust
5 hours ago




$begingroup$
Just between us: IMO the two expressions are of the same complexity.
$endgroup$
– Yves Daoust
5 hours ago










3 Answers
3






active

oldest

votes


















4












$begingroup$

Use that $$sin(x-y)=sin(x)cos(y)-sin(y)cos(x)$$






share|cite|improve this answer









$endgroup$




















    4












    $begingroup$

    Using the formula for $sin (alpha - beta)$ you obtain



    beginalign
    2&sin x +2sin left(fracpi 3 -xright)\
    = 2&sin x +2left[sin left(fracpi 3right) cos x - cosleft(fracpi 3right) sin xright]\
    = 2&sin x + 2left[sqrt 3 over 2 cos x - frac 1 2 sin xright]\[1ex]
    = 2&sin x + sqrt 3 cos x - sin x\[1em] = , &colorredsin x + sqrt 3 cos x
    endalign






    share|cite|improve this answer











    $endgroup$




















      1












      $begingroup$

      Hint: $sin(fracpi3-x)=sin fracpi3cos x-cos fracpi3sin x$






      share|cite|improve this answer









      $endgroup$













        Your Answer





        StackExchange.ifUsing("editor", function ()
        return StackExchange.using("mathjaxEditing", function ()
        StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
        StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
        );
        );
        , "mathjax-editing");

        StackExchange.ready(function()
        var channelOptions =
        tags: "".split(" "),
        id: "69"
        ;
        initTagRenderer("".split(" "), "".split(" "), channelOptions);

        StackExchange.using("externalEditor", function()
        // Have to fire editor after snippets, if snippets enabled
        if (StackExchange.settings.snippets.snippetsEnabled)
        StackExchange.using("snippets", function()
        createEditor();
        );

        else
        createEditor();

        );

        function createEditor()
        StackExchange.prepareEditor(
        heartbeatType: 'answer',
        autoActivateHeartbeat: false,
        convertImagesToLinks: true,
        noModals: true,
        showLowRepImageUploadWarning: true,
        reputationToPostImages: 10,
        bindNavPrevention: true,
        postfix: "",
        imageUploader:
        brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
        contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
        allowUrls: true
        ,
        noCode: true, onDemand: true,
        discardSelector: ".discard-answer"
        ,immediatelyShowMarkdownHelp:true
        );



        );






        zaz9999 is a new contributor. Be nice, and check out our Code of Conduct.









        draft saved

        draft discarded


















        StackExchange.ready(
        function ()
        StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3170733%2fsimplify-trigonometric-expression-using-trigonometric-identities%23new-answer', 'question_page');

        );

        Post as a guest















        Required, but never shown

























        3 Answers
        3






        active

        oldest

        votes








        3 Answers
        3






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes









        4












        $begingroup$

        Use that $$sin(x-y)=sin(x)cos(y)-sin(y)cos(x)$$






        share|cite|improve this answer









        $endgroup$

















          4












          $begingroup$

          Use that $$sin(x-y)=sin(x)cos(y)-sin(y)cos(x)$$






          share|cite|improve this answer









          $endgroup$















            4












            4








            4





            $begingroup$

            Use that $$sin(x-y)=sin(x)cos(y)-sin(y)cos(x)$$






            share|cite|improve this answer









            $endgroup$



            Use that $$sin(x-y)=sin(x)cos(y)-sin(y)cos(x)$$







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered 5 hours ago









            Dr. Sonnhard GraubnerDr. Sonnhard Graubner

            78.4k42867




            78.4k42867





















                4












                $begingroup$

                Using the formula for $sin (alpha - beta)$ you obtain



                beginalign
                2&sin x +2sin left(fracpi 3 -xright)\
                = 2&sin x +2left[sin left(fracpi 3right) cos x - cosleft(fracpi 3right) sin xright]\
                = 2&sin x + 2left[sqrt 3 over 2 cos x - frac 1 2 sin xright]\[1ex]
                = 2&sin x + sqrt 3 cos x - sin x\[1em] = , &colorredsin x + sqrt 3 cos x
                endalign






                share|cite|improve this answer











                $endgroup$

















                  4












                  $begingroup$

                  Using the formula for $sin (alpha - beta)$ you obtain



                  beginalign
                  2&sin x +2sin left(fracpi 3 -xright)\
                  = 2&sin x +2left[sin left(fracpi 3right) cos x - cosleft(fracpi 3right) sin xright]\
                  = 2&sin x + 2left[sqrt 3 over 2 cos x - frac 1 2 sin xright]\[1ex]
                  = 2&sin x + sqrt 3 cos x - sin x\[1em] = , &colorredsin x + sqrt 3 cos x
                  endalign






                  share|cite|improve this answer











                  $endgroup$















                    4












                    4








                    4





                    $begingroup$

                    Using the formula for $sin (alpha - beta)$ you obtain



                    beginalign
                    2&sin x +2sin left(fracpi 3 -xright)\
                    = 2&sin x +2left[sin left(fracpi 3right) cos x - cosleft(fracpi 3right) sin xright]\
                    = 2&sin x + 2left[sqrt 3 over 2 cos x - frac 1 2 sin xright]\[1ex]
                    = 2&sin x + sqrt 3 cos x - sin x\[1em] = , &colorredsin x + sqrt 3 cos x
                    endalign






                    share|cite|improve this answer











                    $endgroup$



                    Using the formula for $sin (alpha - beta)$ you obtain



                    beginalign
                    2&sin x +2sin left(fracpi 3 -xright)\
                    = 2&sin x +2left[sin left(fracpi 3right) cos x - cosleft(fracpi 3right) sin xright]\
                    = 2&sin x + 2left[sqrt 3 over 2 cos x - frac 1 2 sin xright]\[1ex]
                    = 2&sin x + sqrt 3 cos x - sin x\[1em] = , &colorredsin x + sqrt 3 cos x
                    endalign







                    share|cite|improve this answer














                    share|cite|improve this answer



                    share|cite|improve this answer








                    edited 5 hours ago

























                    answered 5 hours ago









                    MarianDMarianD

                    1,9521617




                    1,9521617





















                        1












                        $begingroup$

                        Hint: $sin(fracpi3-x)=sin fracpi3cos x-cos fracpi3sin x$






                        share|cite|improve this answer









                        $endgroup$

















                          1












                          $begingroup$

                          Hint: $sin(fracpi3-x)=sin fracpi3cos x-cos fracpi3sin x$






                          share|cite|improve this answer









                          $endgroup$















                            1












                            1








                            1





                            $begingroup$

                            Hint: $sin(fracpi3-x)=sin fracpi3cos x-cos fracpi3sin x$






                            share|cite|improve this answer









                            $endgroup$



                            Hint: $sin(fracpi3-x)=sin fracpi3cos x-cos fracpi3sin x$







                            share|cite|improve this answer












                            share|cite|improve this answer



                            share|cite|improve this answer










                            answered 5 hours ago









                            VasyaVasya

                            4,1571618




                            4,1571618




















                                zaz9999 is a new contributor. Be nice, and check out our Code of Conduct.









                                draft saved

                                draft discarded


















                                zaz9999 is a new contributor. Be nice, and check out our Code of Conduct.












                                zaz9999 is a new contributor. Be nice, and check out our Code of Conduct.











                                zaz9999 is a new contributor. Be nice, and check out our Code of Conduct.














                                Thanks for contributing an answer to Mathematics Stack Exchange!


                                • Please be sure to answer the question. Provide details and share your research!

                                But avoid …


                                • Asking for help, clarification, or responding to other answers.

                                • Making statements based on opinion; back them up with references or personal experience.

                                Use MathJax to format equations. MathJax reference.


                                To learn more, see our tips on writing great answers.




                                draft saved


                                draft discarded














                                StackExchange.ready(
                                function ()
                                StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3170733%2fsimplify-trigonometric-expression-using-trigonometric-identities%23new-answer', 'question_page');

                                );

                                Post as a guest















                                Required, but never shown





















































                                Required, but never shown














                                Required, but never shown












                                Required, but never shown







                                Required, but never shown

































                                Required, but never shown














                                Required, but never shown












                                Required, but never shown







                                Required, but never shown







                                -

                                Popular posts from this blog

                                Bett Inhaltsverzeichnis Geschichte | Bettformen | Bettgrößen | Andere Bezeichnungen | Bettenmangel | Betten in der bildenden Kunst | Schlafmedizinische Gesichtspunkte | Siehe auch | Literatur | Weblinks | Einzelnachweise | NavigationsmenüBett, Bettstatt, BettstelleCommons: BettBabybetten: Anwendung, Ausstattungsmerkmale und VergleichskriterienWasserbetten. Vorurteile im TestHapfnNursch10.1007/s11818-012-0584-74006250-8AKS4329276-8

                                Image
                                Bett MöbelstückSchlafenMatratzeBettwäscheBettwareSofaalten ÄgyptenGriechenRömernMückennetzAssyrerMederPerserTeppichenPerlmutterElfenbeinOdysseushomerischenLeinentüchernRömerSchilfHeuFedernGänsenSchwänenKissenStickereienpurpurnerSchaubettLaubStrohsäckenMatratzenMittelalterBaldachinAlkovenPelze als DeckenLeintuchseidenenStrohUnterbettenMatratzenKemenateHängelampenNachtlichtBoudoirsAlkovenBettnischenRenaissancefrz.leverfrz.coucherLudwig XIV.FederbettenPlumeausMassenproduktionSäuglingeLattenrostsWiegeStubenwagenLattenrostMatratzeDoppelbettHochbettStockbettNachtschränkchenKaserneJugendherbergenSeemannsheimeWohncontainerBaustellenSaisonarbeiternGefängnissenStraflagernSchlafkojenFaltstuhlLazarettenEschenTeakholzMoskitonetzenTablettKarpfenanglerKufenLiegestuhlTSchaumstoffstückFutonbettJapanMatratzeBettdeckenwestlichen WeltFutonBoxspringbettAmerikaMatratzeSchlittenbettKahnbettBaldachinintimerMittelalterAlkovenMü...
                                Read more

                                Luksemburg Sisukord Nimi | Asend | Loodus | Riigikord | Haldusjaotus | Rahvastik | Riigikaitse | Majandus | Taristu | Ajalugu | Eesti ja Luksemburgi suhted | Haridus | Kultuur | Vaata ka | Viited | Välislingid | Navigeerimismenüü50° N, 6° EÜlevaade Luksemburgi kaitsealadest.Luksemburgi rahvaarv. Statistikaamet.World Bank'i andmebaasÜlevaade Luksemburgi loodusest.Ülevaade Luksemburgi metsadest.Guy Colling. "Red List of the Vascular Plants of Luxembourg." Travaux scientifiques du Musée national d’histoire naturelle Luxembourg. 2005.Luxembourg’s biodiversity at risk.Maailma kahepaiksete andmebaas.Denis Lepage. "Luxembourg." Avibase.Ülevaade temperatuuridest. Luksemburgi meteoroloogiateenistus.Ülevaade Luksemburgist. Euroopa Liidu esinduse koduleht.Système politique. TerritoireÜlevaade Luksemburgi rahvastikust. Luksemburgi statistikaamet.Luksemburgi rahvastik. Luksemburgi statistikaamet.The World FactbookMonique Borsenberger, Paul Dickes. "Religions au Luxembourg. Quelle évolution entre 1999-2008". Luksemburgi statistikaamet. 2011.Luksemburgi peapiiskopkond. Catholic-Hierarchy.Luksemburgi armee koduleht.Luksemburgi armee relvastus.Eesti Välisministeerium.Luksemburgi rahvastik. Luksemburgi statistikaamet.Luksemburgi Eesti Seltsi koduleht.Helen Eelrand. "Raadio, mis muutis maailma." Eesti Päevaleht. 13. märts 2004.Ülevaade Luksemburgi haridussüsteemist.Ülevaade Luksemburgi keskkoolidest.Luksemburgr

                                Image
                                RiigidEuroopa maadLuksemburg merepiiritariikEuroopasMadalmaadeHollandiBelgiagaBeneluxiPrantsusmaaSaksamaaLuxembourgikindlusestSaksa keeles963SiegfriedileläänestpõhjastidastRheinland-PfalziSaarimaalõunastLorraineMoselleMeurthe-et-Moselle'i departemangudArdennideMoseli jõejõedmetsagaharilik pöökharilik tammhall nelkharilik kortslehtmageveekalukahepaikseidpäriskonnalisiroomajaidimetajaidsaarmasNatura 20001964EuroopasÜlevaade Luksemburgi kaitsealadest.parasvöötme kliimasuvejaanuarveebruarjuuliaugustkonstitutsiooniline monarhiaTäidesaatvat võimuSeadusandlik võim2013põhiseadus18421868NATOEuroopa Liidu1. jaanuari20171985letseburgi keelprantsuse keelkodakondsusePortugaliPrantsusmaaItaaliakatoliiklust187019882013ilmikpreestritajateenistusBosnia ja Hertsegoviinaskindral2000politseijõudLiechtensteiniKataritöötusSaksamaaBelgiaPrantsusmaaHollandmineraalidHiinaeurotsooniga1999euro2002sadamKeldi2. sajandil e...
                                Read more

                                Valle di Casies Indice Geografia fisica | Origini del nome | Storia | Società | Amministrazione | Sport | Note | Bibliografia | Voci correlate | Altri progetti | Collegamenti esterni | Menu di navigazione46°46′N 12°11′E / 46.766667°N 12.183333°E46.766667; 12.183333 (Valle di Casies)46°46′N 12°11′E / 46.766667°N 12.183333°E46.766667; 12.183333 (Valle di Casies)Sito istituzionaleAstat Censimento della popolazione 2011 - Determinazione della consistenza dei tre gruppi linguistici della Provincia Autonoma di Bolzano-Alto Adige - giugno 2012Numeri e fattiValle di CasiesDato IstatTabella dei gradi/giorno dei Comuni italiani raggruppati per Regione e Provincia26 agosto 1993, n. 412Heraldry of the World: GsiesStatistiche I.StatValCasies.comWikimedia CommonsWikimedia CommonsValle di CasiesSito ufficialeValle di CasiesMM14870458910042978-6

                                Image
                                Valle di Casies tedescocomune italianoprovincia autonoma di BolzanoTrentino-Alto AdigeValVal Pusteriario CasiesMonguelfoAustriatoponimo117811891299tedescoXII secolo1929municipio1985ted.cappuccinoJoachim HaspingerAndreas HoferbavaresifrancesinapoleonicibronzoOthmar Winklerbunkersbarramento Planca di SopraVallo Alpino in Alto Adigesci di fondoGran fondo della Val Casiesskiliftpiste da slittino naturale Valle di Casies Da Wikipedia, l'enciclopedia libera. Jump to navigation Jump to search Valle di Casies comune ( IT ) Valle di Casies ( DE ) Gsies Una veduta della vallata Localizzazione Stato   Italia Regione Trentino-Alto Adige Provincia Bolzano Amministrazione Sindaco Kurti Taschler (SVP) dal 10-5-2015 (1º mandato) Lingue ufficiali Tedesco, Italiano Territorio Coordinate 46°46′N 12°11′E  /  46.766667°N 12.183333°E 46.766667; 12.183333  ( Valle di Casies ) Coordinate: 46°46...
                                Read more