All of Trigonometric Identities and Equations in 30 minutes!! | Chapter 10 | A level Pure Maths

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  • Опубликовано: 2 ноя 2024

Комментарии • 160

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  2 года назад +31

    👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - ruclips.net/video/UiKVBshIOv4/видео.html
    If anyone would like to support the channel you can become a member here: ruclips.net/channel/UCStPzCGyt5tlwdpDXffobxAjoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼
    New Discord Link: discord.gg/nRMtgr5AWA 👑

    • @bastianjohnson6645
      @bastianjohnson6645 2 года назад

      Hi I wanted to tell you there seems to be a mistake at 27:14 question as it wouldn't be possible for to get 4-5cos theta

  • @tejeshvararunkumar9411
    @tejeshvararunkumar9411 Год назад +89

    I used his videos so much for my GCSEs and I am confident in saying he is one of the reasons to how I got an 8. I didn't he made A level videos and I have been struggling without his help till now. I am doing far better now thanks to you

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  Год назад +24

      I’m so glad to hear I could help! Amazing news on your GCSE grade keep up the amazing work! I’m working on some more A-Level videos over the holidays! 😁🙏🏼

  • @stannersindustries4985
    @stannersindustries4985 2 года назад +71

    I don't understand how these videos are not more popular! You are doing a true service for the good maths education with these videos. (Particularly A-Level, these are much better than the competition).

  • @jacobmcgrory2841
    @jacobmcgrory2841 2 года назад +577

    ive had enough

  • @apple6112
    @apple6112 7 месяцев назад +12

    12:09 you could also remove the 5 common from 5sin2theta + 5cos2theta to get 5(sin2theta+cos2theta) which is equivalent to 5

    • @immanuellaAyuk
      @immanuellaAyuk 6 месяцев назад +2

      that's the same thing i thought of

    • @phelelekhoza7177
      @phelelekhoza7177 3 месяца назад

      I came to the comments to find this exact comment 😭.

    • @oozyjoey8869
      @oozyjoey8869 2 месяца назад

      This is what I did, came to the comments to see if anyone else tried this

  • @shakz7
    @shakz7 2 года назад +110

    Thanks my g, really helped with my A Level maths

    • @sebclaye9326
      @sebclaye9326 2 года назад +3

      same here g appreciate it mush

    • @courtneylust
      @courtneylust Год назад

      really? what grade did you get?

    • @shakz7
      @shakz7 Год назад +3

      @@courtneylust Icl I got excluded from my old sixth😭, I go to a colly now and im predicted A wbu

    • @lukesampson8181
      @lukesampson8181 Год назад

      @@shakz7why’d u get excluded lmaooo

    • @shakz7
      @shakz7 Год назад +3

      @@lukesampson8181 Dw😂

  • @tanirsethu5662
    @tanirsethu5662 2 года назад +7

    Thanks a lot man 🙏. I tried to learn this so many times and couldn't understand it but now you taught me the method my a level maths teachers could never teach. If it wasn't for you, I would be failing a level maths. God bless you

  • @lizbasiita3498
    @lizbasiita3498 Год назад +15

    Thank you so much! Just one thing though: Have you considered using a thinner pen/marker for your whiteboard? I think it would just make your videos all the more perfect!🥰

  • @tanatswadebwe8021
    @tanatswadebwe8021 2 года назад +20

    You got me a A 89% at IGCSE math 💓💓

  • @AbdulMalik-qs9fg
    @AbdulMalik-qs9fg Год назад +36

    bro can you please make a playlist on AS topics for stats and mechanics? It would be extremely helpful

    • @marib5440
      @marib5440 Год назад +1

      frrr do you know any good playlists for that

    • @azureass1661
      @azureass1661 Год назад +9

      ​@@marib5440TLmaths is pretty solid imo

    • @smashaj2955
      @smashaj2955 10 месяцев назад

      @@marib5440maths genie website is good

    • @AhmedNasser-w3p
      @AhmedNasser-w3p 27 дней назад

      did you find mech?

  • @Bxbyjyyy
    @Bxbyjyyy 9 месяцев назад

    I passed my IGCSE math with an A coz of this guys. Teachers were just waffling. Now I'm back for A level and he still the reason. I LOVE YOU MR TUTOR!!!!!!!!!

  • @jamie7707
    @jamie7707 2 года назад +26

    Thanks for this amazing video Sir! Is there any chance possible if you may go through the quadrant method used to solve trigonometric functions as that is another method used for solving trigonometric functions and equations sir. Thanks for producing these amazing helpful and straight to the point chapter videos 👍👍👍🔥🔥🔥

  • @unknown-wm5ls
    @unknown-wm5ls 2 года назад +10

    These videos are genuinely a life saver, thanks.

  • @vaed1651
    @vaed1651 8 месяцев назад

    video helped so much. I'm watching this in preparation for my further maths mock exaam and this has saved me.

  • @Jetset_hd
    @Jetset_hd 2 года назад +8

    extremely helpful, thank you so much

  • @katherinemb.6308
    @katherinemb.6308 2 года назад +3

    Oh my god this helped so much. Thank you thank you thank you. Really appreciate your work and channel.

  • @chocolate8818
    @chocolate8818 6 месяцев назад

    Lovely video! I finally understood this topic thanks to you sir.

  • @tanatswadebwe8021
    @tanatswadebwe8021 2 года назад +2

    I love this guy I swear 😭😭😭

  • @Mariane_iiv
    @Mariane_iiv Месяц назад

    Thank you so much, your videos are very helpful
    Thank you for your time ❤

  • @mohammedalharthy2789
    @mohammedalharthy2789 Год назад +3

    well done, thank you sir

  • @davidhill8163
    @davidhill8163 2 года назад

    Many thanks for breaking this down slowly and step by step

  • @FraserGibbs
    @FraserGibbs Месяц назад

    Cheers bro, this video is an absolute life saver 💪

  • @sanzusbbl9844
    @sanzusbbl9844 10 месяцев назад

    Sir please do more Alevel vidoes these are saving me !!! u lift soo much stress off my head

  • @gracegrimwood5723
    @gracegrimwood5723 2 года назад +6

    are you going to do the statistics and mechanics?

  • @malulu.9118
    @malulu.9118 Год назад +1

    this is really helpful thank you so much

  • @SeoYejun-tf8dc
    @SeoYejun-tf8dc 11 месяцев назад +1

    You are my life saver🎉

  • @whizzriz8139
    @whizzriz8139 Год назад +5

    Hey sir, can you do AS stats and mechanics as well?

  • @Bxbyjyyy
    @Bxbyjyyy 9 месяцев назад +2

    Dear Sir
    At 4:19 minutes, on the graph of exact trig values you wrote that cos45 and sin45 equal to 1 over root 2. They're both actually equal to root 2 over 2 Sir. Thank you very much more, I'm understanding the concepts coz of this vid!😊

    • @sugawaraaa9167
      @sugawaraaa9167 9 месяцев назад +1

      1 over root 2 is equivalent to root 2 over 2

  • @alisonjalon13
    @alisonjalon13 Год назад +1

    this was so useful, thank you!

  • @Washingmachine256
    @Washingmachine256 9 месяцев назад

    well i finally learnt how to factorise properly in this video ❤

  • @charliecampbell5598
    @charliecampbell5598 Год назад

    Thank you so much for this! The textbook uses the circle method but my teachers use this method - much simpler imo

  • @jozimaps9420
    @jozimaps9420 2 года назад +4

    You are incredible

  • @jamespinder8381
    @jamespinder8381 Год назад +2

    In the solving trig equations chapter, using the quadratic method wouldn't you only get the first two answers? Because 57 and 122 fall into the A and S quadrants, and the other two values fall into the T and C quadrants?

  • @tombob641
    @tombob641 Год назад +9

    Why couldn’t you just factorise the 5sin^2 +5cos^2 >>> 5(sin^2+cos^2) >>>> 5(1) >>> 5, am I correct or?

  • @mathsmeadow5106
    @mathsmeadow5106 2 года назад +12

    Is there any possibility that you would go through A2 pure maths before our exam 2022?

  • @yopolis4523
    @yopolis4523 2 года назад +6

    I don,t understand the example where where we show the equation equals to 4-5 cos0. You changed the sign for the quadratics and when you found your 2 answers, you also changed the (5x-4) into (4-5x). The sign (-) follows the 4 not the 5 but you just swapped it. Can you please explain this part? I don’t understand it at all.

    • @yopolis4523
      @yopolis4523 2 года назад +2

      Also, I didn’t change the quadratics sign so i got (-5cos0 + 4) (2cos0 - 3)/ (3 + 2cos0). Do the 3 +2cos0 and the 3 - 2cos0 cancel out? Please let me know if you see this comment.

    • @kamikazechameleon3700
      @kamikazechameleon3700 2 года назад

      if you're talking about the quadratic at 28:32 its because the quadratic was originally negative and he made it positive so he had to change the output to expand out into the negative the quadratic instead of the positive

  • @kola7483
    @kola7483 2 года назад +2

    banga vid like usual chap

  • @ff_cobra_kai
    @ff_cobra_kai 2 года назад +5

    Can I ask ...in the first example can we just factor out 5 Then turn everything into 1?

    • @dionthomas2967
      @dionthomas2967 2 года назад +1

      No because you are trying to show that it’s identical to 5 so you shouldn’t really change the right side.

    • @arzaadkhan501
      @arzaadkhan501 2 года назад +6

      @@dionthomas2967 but your not bringing anything to the right side. its 5(coa^2+sin^2)

  • @chillvibes1748
    @chillvibes1748 2 года назад +14

    Hello sir at around 27:14 how can (5x-4) be written as (4-5x), do you rearrange to first get (-4+5x) and then multiply that by (-1) to get (4-5x)

    • @charliefowler2781
      @charliefowler2781 2 года назад +2

      it's because he flipped the signs around earlier to make 10x^2+7x-12, so then he flipped the signs back around afterwards

    • @bastianjohnson6645
      @bastianjohnson6645 2 года назад +1

      @@charliefowler2781 yes but that still gives you same factors but do you then after multiply by - 1

  • @straymite707
    @straymite707 2 года назад +2

    Thanks so much this is really helpful for revision!

  • @potati4097
    @potati4097 Год назад +3

    27:21 why wouldn't it be (3+2x)(-4+5x) because you need negative 12, so why would the 4 be positive??

    • @sugawaraaa9167
      @sugawaraaa9167 9 месяцев назад

      Because he multiplied by minus 1 before factorising you have to switch the numbers in the brackets to make it the same quadratic

  • @gudforyou9103
    @gudforyou9103 Год назад +3

    25:55 i did not understand why you changed one of the minus signs to plus. isnt it supposed to stay minus?

    • @sugawaraaa9167
      @sugawaraaa9167 9 месяцев назад +1

      He multiplied by minus 1 to make it easier and then swapped the numbers in the brackets at the end to make it the same as before

  • @lemonadechilli172
    @lemonadechilli172 Год назад +1

    You saved my exam mate very helpful thank you a lot

  • @Amir-nv6cs
    @Amir-nv6cs 6 месяцев назад

    At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?

  • @numan4166
    @numan4166 Год назад +1

    For the 7sin squared = 5 question ( 3rd question)
    do we need to give the 4 x values because in the question for drawing the graph, it's asking from 0 to 360

    • @andymandy1909
      @andymandy1909 Год назад

      I think you do because all 4 x values that he found lie between the intervals of 0 - 360.

  • @Henry-sp3ku
    @Henry-sp3ku 2 года назад

    top quality mate

  • @tinashemangumba1169
    @tinashemangumba1169 2 года назад

    Thank you so much u really helped me

  • @wethan9569
    @wethan9569 Месяц назад

    For the trigonometric identities question asking about equating it to 5 for the final equation can’t you just substitute five out? Since sin squared theta + cos squared theta =1?

  • @antonytembo3120
    @antonytembo3120 11 месяцев назад

    Would you still get the same answers if you use different graphs ?32:25 for example instead of using the tan graph you use either the cos or sin graph?

    • @maryammm859
      @maryammm859 11 месяцев назад +1

      no, ud have to use the graph for that particular function, e.g. tan graph for solutions for tan x = a

  • @FotsapEmmanuel
    @FotsapEmmanuel 11 месяцев назад

    Sir please can we be solving GCE question More often??

  • @IndigoRM
    @IndigoRM Год назад

    THANK YOU

  • @leotang3242
    @leotang3242 2 года назад +2

    please do more pure maths video please!!!!

  • @JenniferOnyemaechi
    @JenniferOnyemaechi 3 месяца назад

    I got confused in the second question part B toward the end where we have Sin^-1=√5\7
    The answer isn't corresponding with mine
    How did you get it

  • @ImranAwan-n9s
    @ImranAwan-n9s 8 месяцев назад

    How important is the unit circle for AQA A Level Maths?

  • @jacklordeyey8546
    @jacklordeyey8546 Год назад +1

    22:10 I understand how you find 57.7 and 122.3 by doing the quadrant method but how do you find the other two values as aren’t the only two quadrants the a and in the cast diagram

    • @jamespinder8381
      @jamespinder8381 Год назад +1

      exactly what i was thinking, theyre in the S and T quadrants

  • @sassinemselabe1496
    @sassinemselabe1496 2 года назад

    nice video, but please bring in some more difficult trig identities next time

  • @hi-pg9bp
    @hi-pg9bp Год назад

    Thanks

  • @asmaa1853
    @asmaa1853 2 года назад +1

    Thank you 💖💖

  • @MuhammedKhabbab
    @MuhammedKhabbab 5 месяцев назад +2

    if sin^2θ + cos^2θ = 1 then 5sin^θ + 5cos^2θ = 5. isn't that the proof. both sides have been multiplied by 5

  • @jeffjeffson5967
    @jeffjeffson5967 Год назад +2

    27:05 Sir, what is happening in this section?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  Год назад +2

      Factorising a negative quadratic! I have a video on that if you search the channel 😁🙏🏼

    • @jeffjeffson5967
      @jeffjeffson5967 Год назад +1

      @@TheGCSEMathsTutor Thank you sir.

  • @sei7082
    @sei7082 2 года назад +2

    at 22:04 your method is very long and gives inaccurate values, on calculator go to MODE SETUP --> TABLE --> f(X) = sin(X) --> START? Type number on the left of X in the interval so that's 0 --> END? Type number on the right of X in the interval so that's 360 --> STEP? Type your value for X then the values will be shown in a table. you don't need a graphical calculator just something like the classwiz, saves time and is accurate

  • @joey1317
    @joey1317 2 года назад +7

    Never skip steps. It’s a bad habit to get into and loses marks in exams…

    • @roxc453
      @roxc453 Год назад +5

      I rlly need to remember this but I keep thinking the examiner can read my mind or something

    • @courtneylust
      @courtneylust Год назад

      @@roxc453 lol same

  • @rissikesthiyagarajah2205
    @rissikesthiyagarajah2205 Год назад

    Thx

  • @Sofia-gk9sn
    @Sofia-gk9sn 2 года назад +2

    Hi Sir do you think you could cover the quadrant method please?

  • @tasangerbakes
    @tasangerbakes Год назад

    11:00 could u not just factor out the 5 and make what's inside the brackets equal to 1 then 5x 1 = 5 ?

  • @badoublenana
    @badoublenana 11 месяцев назад

    At 27:27 I had worked out the same way, but I don't get how (5x-4) becomes (4-5x).

    • @williambailey9343
      @williambailey9343 10 месяцев назад +2

      Neither do I. Any explanation?

    • @sugawaraaa9167
      @sugawaraaa9167 9 месяцев назад

      @@williambailey9343because he multiplied the quadratic by minus 1 before factorising so you have to swap the numbers in the brackets at the end

    • @sugawaraaa9167
      @sugawaraaa9167 9 месяцев назад

      @@williambailey9343he swapped 2x + 3 to 3 + 2x as well even though it doesn’t matter

    • @williambailey9343
      @williambailey9343 9 месяцев назад

      @@sugawaraaa9167 yeah thanks. I managed to understand it after some thinking. Just need to make one bracket negative as making both negative does nothing. If you make the other bracket negative it still cancels out.

  • @26Uncovered
    @26Uncovered 5 месяцев назад +2

    I'm so cooked

  • @user-mx6hd7gg6k
    @user-mx6hd7gg6k 11 месяцев назад

    Endless pain and suffering I am tired

  • @beamboy07
    @beamboy07 4 месяца назад +1

    Kms

  • @BarniDeDino
    @BarniDeDino Год назад

    Gosh this chapter is annoying, your explanation helped tho, thanks man

  • @areefilyas8850
    @areefilyas8850 2 года назад

    W video

  • @castor5580
    @castor5580 Год назад

    If this is a level maths me is whole alphabet 😂

  • @Remus786
    @Remus786 2 года назад +4

    How can 5x-4 be written as 4-5x 27:20

    • @riotza7597
      @riotza7597 2 года назад

      cause remember he made -10x^2, 10x^2 to make it easier to work with so at the end he reversed what he did originally

  • @ethanmather465
    @ethanmather465 9 месяцев назад

    17:00

  • @Ja-od1mh
    @Ja-od1mh 8 месяцев назад

    Where’s r cos alpha vid

  • @mistermusab8055
    @mistermusab8055 10 месяцев назад

    23:13

  • @geezer1024
    @geezer1024 5 месяцев назад +1

    tired

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 года назад

    3;30 mins in and no obviously

  • @nhlanhlafuzane3535
    @nhlanhlafuzane3535 2 года назад

    roasted

  • @Amir-nv6cs
    @Amir-nv6cs 6 месяцев назад

    At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?

  • @zoe.nothando
    @zoe.nothando Год назад

    thank you

  • @Amir-nv6cs
    @Amir-nv6cs 6 месяцев назад

    At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?

  • @Yamesy
    @Yamesy 2 года назад

    Thank you

  • @ippo5005
    @ippo5005 2 года назад

    Thank you