using de Moivre's theorem to express sin nθ and cos nθ in terms of sinθ and cosθ ExamSolutions

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3 окт 2024

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Комментарии : 58

@shahzebmohammad9521 3 года назад

I passed A level mathematics examinations a few years ago and I have enrolled in electrical engineering with a computer science program. if I had not found your channel a few years ago, my mindset towards mathematics would have never changed. Thank you, sir!

@megusta7972 6 лет назад

thanks this was so helpful , i can't begin to express how helpful this was

@ExamSolutions_Maths 6 лет назад

That's okay. Thanks for watching.

@ericais2675 4 года назад

Wow...I just discovered your channel today and I'm happy using it during the Corona Virus Lockdown. I've been watching your complex Numbers videos and I've gained a lot.Thanks🙏

@ujjwalpatel6880 4 года назад

Thanks sir u are great

@stokestheorem8125 5 лет назад

Thank you. This is a great method to check my answer to expanding cos(5x) into cos(x). I wish I could use this theorem since expanding by the compound-angle formulas took me 1 hour.

@wunnyboo463 9 лет назад

thank youuuuuuuu .this helped to cure my crazinesss towards math.

@MrJorgie73 4 года назад

using CIS notation makes it so much easier - thank you!!

@ExamSolutions_Maths 4 года назад

You're welcome

@marineleroy1956 3 года назад

Thank you, this was so helpful to me!

@ExamSolutions_Maths 11 лет назад

Just use the binomial expansion for (c+is)^6 and compare real parts just like I did in the video.

@nadiabegum40 10 лет назад

Tq soo much u really help me a lot thanks once again

@onecleanrun 10 лет назад

Wow. This helped me so much. Can't thank you enough.

@ExamSolutions_Maths 10 лет назад

That's good.

@ExamSolutions_Maths 11 лет назад

Yes

@趙佶-b1q 4 года назад

ExamSolutions yes sir

@spacetimecontinuum4784 10 лет назад

this is the definite of sweet science, you explained it with no reservation

@gilbertbett5883 7 лет назад

Thank you thank you thank you so much, your explanation is veeeery clear!!!!

@ExamSolutions_Maths 7 лет назад

Thank you for watching

@feradamtay527 8 лет назад

Thank You. That was a very good explanation of that problem.

@ExamSolutions_Maths 8 лет назад

Appreciated

@kanyawyousif6614 3 года назад

What if it was like that (Express sin4θ in terms of sinθ)?

@alahna733 5 лет назад

This has been so so helpful!! Thanks so much for uploading. I just found your page yesterday and I’m understanding the maths I’m currently doing a lot easier. Subscribed and will be keeping an eye out for future vids!!🤩😎

@ExamSolutions_Maths 5 лет назад

Thank you for subscribing. Best wishes.

@yeswaystation27 8 лет назад

Great video, I've only got one question: if the question only gives us something like cos5 theta, then we can assume that z = cos5 theta + isin5 theta?

@daveluz6359 4 года назад

can I also do something like expressing/simplifying the sin^n to cos or sin using de moivre's theorem? like sin^4 is equals to 3/8-1/cos2theta+1/8cos4theta can I still get that using de moivre's theorem cuz I'm not really good at algebraic manipulation

@ExamSolutions_Maths 4 года назад

Yes. Check this out. www.examsolutions.net/tutorials/expressing-sinn%ce%b8-cosn%ce%b8-terms-sink%ce%b8-cosk%ce%b8/?level=A-Level&board=Edexcel&module=Further-Core-Maths-A-Level&topic=1898

@Amanmishra-em3vp 7 лет назад

its very intresting

@TheMandhu 9 лет назад

thx great help

@canberkpower 10 лет назад

Thanks a lot pal

@nooruddinmd4437 8 лет назад

thnx....clearly i have got this,,,,,,,

@ExamSolutions_Maths 8 лет назад

Well done

@loi6788 11 лет назад

Are we allowed to use this abbreviation during the exam?

@bostangpalaguna228 4 года назад

Do it in multiple choice section

@jermiasronaldsahureka8240 8 лет назад

awesome. Thank you so much

@ExamSolutions_Maths 8 лет назад

+Jermias Ronald Sahureka You're welcome.

@roscoebergstedt6997 11 лет назад

how do you express Cos 6θ in terms of sums and differences of powers of Sinθ and Cosθ do you only use De Moivre's or also binomial?

@johan_dupl 8 лет назад

Great explanation, thank you :D

@ExamSolutions_Maths 8 лет назад

+Johan du Plessis Thank you.

@nataliahuiza6554 7 лет назад

Muchisimas gracias, me sirvió muchisímo... pero no sé como realizar el mismo pero con seno (sen4 °)

@md.yeahiakhan3415 7 лет назад

thanks

@nehaiustad5205 7 лет назад

thank you sir..

@ExamSolutions_Maths 7 лет назад

You are welcome. I am pleased to hear it helped.

@hazimaznan2077 5 лет назад

Tq very much..

@ExamSolutions_Maths 5 лет назад

You're welcome

@srirambommidi6720 6 лет назад

How to calculate cos8x interms of sinx

@96Lamo 7 лет назад

!!thank you so much

@ExamSolutions_Maths 7 лет назад

That's okay. Thanks for using.

@wakil7786 7 лет назад

Express "tan5theeta " in terms of "tan theeta". using De'movres theorm . how to solve this equation???

@humayunrashid8351 4 года назад

Wouldn't we need to write let c=cosx and s=sinx before doing the expansion?

@ExamSolutions_Maths 4 года назад

That's up to you. It can save space which is an advantage.

@jeevithagv6763 7 лет назад

I need expansion of sin 4(teta) in terms of cos (teta)

@zaza8870 5 лет назад

Nice vid, just wondering how I’d do the reverse of this? Like finding sin^n in terms of sin(kx) etc

@ExamSolutions_Maths 5 лет назад

I think this is what you are after. www.examsolutions.net/tutorials/expressing-sin-n%ce%b8-cos-n%ce%b8-terms-sin%ce%b8-cos%ce%b8/?level=A-Level&board=Edexcel&module=Further-Core-Maths-A-Level&topic=1898

@SceneSurgeSnippets 4 года назад

@@ExamSolutions_Maths That's the wrong link. This is the one he needs: www.examsolutions.net/tutorials/expressing-sinn%ce%b8-cosn%ce%b8-terms-sink%ce%b8-cosk%ce%b8/?level=A-Level&board=Edexcel&module=Further-Core-Maths-A-Level&topic=1898