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

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  • เผยแพร่เมื่อ 9 พ.ย. 2024

ความคิดเห็น • 160

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  2 ปีที่แล้ว +31

    👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - th-cam.com/video/UiKVBshIOv4/w-d-xo.html
    If anyone would like to support the channel you can become a member here: th-cam.com/channels/StPzCGyt5tlwdpDXffobxA.htmljoin 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 ปีที่แล้ว

      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

  • @stannersindustries4985
    @stannersindustries4985 2 ปีที่แล้ว +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 ปีที่แล้ว +582

    ive had enough

  • @tejeshvararunkumar9411
    @tejeshvararunkumar9411 ปีที่แล้ว +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  ปีที่แล้ว +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! 😁🙏🏼

  • @apple6112
    @apple6112 7 หลายเดือนก่อน +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 หลายเดือนก่อน +2

      that's the same thing i thought of

    • @phelelekhoza7177
      @phelelekhoza7177 3 หลายเดือนก่อน

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

    • @oozyjoey8869
      @oozyjoey8869 2 หลายเดือนก่อน

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

  • @shakz7
    @shakz7 2 ปีที่แล้ว +110

    Thanks my g, really helped with my A Level maths

    • @sebclaye9326
      @sebclaye9326 2 ปีที่แล้ว +3

      same here g appreciate it mush

    • @courtneylust
      @courtneylust ปีที่แล้ว

      really? what grade did you get?

    • @shakz7
      @shakz7 ปีที่แล้ว +3

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

    • @lukesampson8181
      @lukesampson8181 ปีที่แล้ว

      @@shakz7why’d u get excluded lmaooo

    • @shakz7
      @shakz7 ปีที่แล้ว +4

      @@lukesampson8181 Dw😂

  • @tanatswadebwe8021
    @tanatswadebwe8021 2 ปีที่แล้ว +20

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

  • @tanirsethu5662
    @tanirsethu5662 2 ปีที่แล้ว +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

  • @Bxbyjyyy
    @Bxbyjyyy 9 หลายเดือนก่อน

    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!!!!!!!!!

  • @lizbasiita3498
    @lizbasiita3498 ปีที่แล้ว +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!🥰

  • @vaed1651
    @vaed1651 9 หลายเดือนก่อน

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

  • @AbdulMalik-qs9fg
    @AbdulMalik-qs9fg ปีที่แล้ว +36

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

    • @marib5440
      @marib5440 ปีที่แล้ว +1

      frrr do you know any good playlists for that

    • @azureass1661
      @azureass1661 ปีที่แล้ว +9

      ​@@marib5440TLmaths is pretty solid imo

    • @smashaj2955
      @smashaj2955 11 หลายเดือนก่อน

      @@marib5440maths genie website is good

    • @AhmedNasser-w3p
      @AhmedNasser-w3p หลายเดือนก่อน

      did you find mech?

  • @unknown-wm5ls
    @unknown-wm5ls 2 ปีที่แล้ว +10

    These videos are genuinely a life saver, thanks.

  • @jamie7707
    @jamie7707 2 ปีที่แล้ว +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 👍👍👍🔥🔥🔥

  • @Jetset_hd
    @Jetset_hd 2 ปีที่แล้ว +8

    extremely helpful, thank you so much

  • @katherinemb.6308
    @katherinemb.6308 2 ปีที่แล้ว +3

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

  • @tanatswadebwe8021
    @tanatswadebwe8021 2 ปีที่แล้ว +2

    I love this guy I swear 😭😭😭

  • @chocolate8818
    @chocolate8818 6 หลายเดือนก่อน

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

  • @sanzusbbl9844
    @sanzusbbl9844 10 หลายเดือนก่อน

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

  • @davidhill8163
    @davidhill8163 2 ปีที่แล้ว

    Many thanks for breaking this down slowly and step by step

  • @Bxbyjyyy
    @Bxbyjyyy 9 หลายเดือนก่อน +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 หลายเดือนก่อน +1

      1 over root 2 is equivalent to root 2 over 2

  • @mohammedalharthy2789
    @mohammedalharthy2789 ปีที่แล้ว +3

    well done, thank you sir

  • @SeoYejun-tf8dc
    @SeoYejun-tf8dc ปีที่แล้ว +1

    You are my life saver🎉

  • @Mariane_iiv
    @Mariane_iiv 2 หลายเดือนก่อน

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

  • @whizzriz8139
    @whizzriz8139 ปีที่แล้ว +5

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

  • @gracegrimwood5723
    @gracegrimwood5723 2 ปีที่แล้ว +6

    are you going to do the statistics and mechanics?

  • @FraserGibbs
    @FraserGibbs หลายเดือนก่อน

    Cheers bro, this video is an absolute life saver 💪

  • @jozimaps9420
    @jozimaps9420 2 ปีที่แล้ว +4

    You are incredible

  • @jamespinder8381
    @jamespinder8381 ปีที่แล้ว +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?

  • @charliecampbell5598
    @charliecampbell5598 ปีที่แล้ว

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

  • @malulu.9118
    @malulu.9118 ปีที่แล้ว +1

    this is really helpful thank you so much

  • @Washingmachine256
    @Washingmachine256 9 หลายเดือนก่อน

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

  • @alisonjalon13
    @alisonjalon13 ปีที่แล้ว +1

    this was so useful, thank you!

  • @tombob641
    @tombob641 ปีที่แล้ว +9

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

    • @YashveerRamchurn-cs5xw
      @YashveerRamchurn-cs5xw ปีที่แล้ว

      Yeah, that works too cus I also did that and got the correct answer

    • @boitumelopitso6825
      @boitumelopitso6825 2 หลายเดือนก่อน

      that’s what i did as well

  • @yopolis4523
    @yopolis4523 2 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว

      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

  • @ff_cobra_kai
    @ff_cobra_kai 2 ปีที่แล้ว +5

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

    • @dionthomas2967
      @dionthomas2967 2 ปีที่แล้ว +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 ปีที่แล้ว +6

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

  • @potati4097
    @potati4097 ปีที่แล้ว +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 หลายเดือนก่อน

      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 ปีที่แล้ว +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 หลายเดือนก่อน +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

  • @mathsmeadow5106
    @mathsmeadow5106 2 ปีที่แล้ว +12

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

  • @straymite707
    @straymite707 2 ปีที่แล้ว +2

    Thanks so much this is really helpful for revision!

  • @wethan9569
    @wethan9569 หลายเดือนก่อน

    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?

  • @kola7483
    @kola7483 2 ปีที่แล้ว +2

    banga vid like usual chap

  • @numan4166
    @numan4166 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @FotsapEmmanuel
    @FotsapEmmanuel 11 หลายเดือนก่อน

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

  • @leotang3242
    @leotang3242 2 ปีที่แล้ว +2

    please do more pure maths video please!!!!

  • @antonytembo3120
    @antonytembo3120 ปีที่แล้ว

    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 ปีที่แล้ว +1

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

  • @Amir-nv6cs
    @Amir-nv6cs 6 หลายเดือนก่อน

    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?

  • @lemonadechilli172
    @lemonadechilli172 ปีที่แล้ว +1

    You saved my exam mate very helpful thank you a lot

  • @ippo5005
    @ippo5005 2 ปีที่แล้ว

    Thank you

  • @tinashemangumba1169
    @tinashemangumba1169 2 ปีที่แล้ว

    Thank you so much u really helped me

  • @hi-pg9bp
    @hi-pg9bp ปีที่แล้ว

    Thanks

  • @jacklordeyey8546
    @jacklordeyey8546 ปีที่แล้ว +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 ปีที่แล้ว +1

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

  • @sassinemselabe1496
    @sassinemselabe1496 2 ปีที่แล้ว

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

  • @ImranAwan-n9s
    @ImranAwan-n9s 8 หลายเดือนก่อน

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

  • @Henry-sp3ku
    @Henry-sp3ku 2 ปีที่แล้ว

    top quality mate

  • @chillvibes1748
    @chillvibes1748 2 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +1

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

  • @asmaa1853
    @asmaa1853 2 ปีที่แล้ว +1

    Thank you 💖💖

  • @rissikesthiyagarajah2205
    @rissikesthiyagarajah2205 ปีที่แล้ว

    Thx

  • @JenniferOnyemaechi
    @JenniferOnyemaechi 3 หลายเดือนก่อน

    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

  • @joey1317
    @joey1317 2 ปีที่แล้ว +7

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

    • @roxc453
      @roxc453 ปีที่แล้ว +5

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

    • @courtneylust
      @courtneylust ปีที่แล้ว

      @@roxc453 lol same

  • @sei7082
    @sei7082 2 ปีที่แล้ว +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

  • @ethanmather465
    @ethanmather465 10 หลายเดือนก่อน

    17:00

  • @MuhammedKhabbab
    @MuhammedKhabbab 6 หลายเดือนก่อน +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 ปีที่แล้ว +2

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  ปีที่แล้ว +2

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

    • @jeffjeffson5967
      @jeffjeffson5967 ปีที่แล้ว +1

      @@TheGCSEMathsTutor Thank you sir.

  • @mistermusab8055
    @mistermusab8055 10 หลายเดือนก่อน

    23:13

  • @BarniDeDino
    @BarniDeDino ปีที่แล้ว

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

  • @badoublenana
    @badoublenana 11 หลายเดือนก่อน

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

    • @williambailey9343
      @williambailey9343 10 หลายเดือนก่อน +2

      Neither do I. Any explanation?

    • @sugawaraaa9167
      @sugawaraaa9167 9 หลายเดือนก่อน

      @@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 หลายเดือนก่อน

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

    • @williambailey9343
      @williambailey9343 9 หลายเดือนก่อน

      @@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.

  • @areefilyas8850
    @areefilyas8850 2 ปีที่แล้ว

    W video

  • @user-mx6hd7gg6k
    @user-mx6hd7gg6k ปีที่แล้ว

    Endless pain and suffering I am tired

  • @Sofia-gk9sn
    @Sofia-gk9sn 2 ปีที่แล้ว +2

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

  • @26Uncovered
    @26Uncovered 5 หลายเดือนก่อน +2

    I'm so cooked

  • @tasangerbakes
    @tasangerbakes ปีที่แล้ว

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

  • @beamboy07
    @beamboy07 4 หลายเดือนก่อน +1

    Kms

  • @castor5580
    @castor5580 ปีที่แล้ว

    If this is a level maths me is whole alphabet 😂

  • @Ja-od1mh
    @Ja-od1mh 9 หลายเดือนก่อน

    Where’s r cos alpha vid

  • @geezer1024
    @geezer1024 5 หลายเดือนก่อน +1

    tired

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 ปีที่แล้ว

    3;30 mins in and no obviously

  • @Remus786
    @Remus786 2 ปีที่แล้ว +4

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

    • @riotza7597
      @riotza7597 2 ปีที่แล้ว

      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

  • @nhlanhlafuzane3535
    @nhlanhlafuzane3535 2 ปีที่แล้ว

    roasted

  • @Amir-nv6cs
    @Amir-nv6cs 6 หลายเดือนก่อน

    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 ปีที่แล้ว

    Thank you

  • @Amir-nv6cs
    @Amir-nv6cs 6 หลายเดือนก่อน +1

    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?

  • @IndigoRM
    @IndigoRM ปีที่แล้ว

    THANK YOU

  • @zoe.nothando
    @zoe.nothando ปีที่แล้ว

    thank you