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

[@TheGCSEMathsTutor]

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzbin.info/www/bejne/i5quh3Wpna6CrJY If anyone would like to support the channel you can become a member here: kzbin.info/door/StPzCGyt5tlwdpDXffobxAjoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼 New Discord Link: discord.gg/nRMtgr5AWA 👑

[@bastianjohnson6645]

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

[@apple6112]

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

[@immanuellaAyuk]

that's the same thing i thought of

[@phelelekhoza7177]

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

[@oozyjoey8869]

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

[@stannersindustries4985]

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]

ive had enough

[@hemragulyusuf4069]

Real

[@AbdulHadi-ud8dj]

bruh same

[@liza.56]

Same

[@josephabraham1848]

Real

[@Ayzlxn]

So real

[@tejeshvararunkumar9411]

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]

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! 😁🙏🏼

[@aaronvernon1094]

Grade 8 is a rookie number

[@tanatswadebwe8021]

You got me a A 89% at IGCSE math 💓💓

[@shakz7]

Thanks my g, really helped with my A Level maths

[@sebclaye9326]

same here g appreciate it mush

[@courtneylust]

really? what grade did you get?

[@shakz7]

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

[@lukesampson8181]

@@shakz7why’d u get excluded lmaooo

[@shakz7]

@@lukesampson8181 Dw😂

[@tanirsethu5662]

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]

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]

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!🥰

[@AbdulMalik-qs9fg]

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

[@marib5440]

frrr do you know any good playlists for that

[@azureass1661]

​@@marib5440TLmaths is pretty solid imo

[@smashaj2955]

@@marib5440maths genie website is good

[@AhmedNasser-w3p]

did you find mech?

[@tanatswadebwe8021]

I love this guy I swear 😭😭😭

[@gracegrimwood5723]

are you going to do the statistics and mechanics?

[@Jetset_hd]

extremely helpful, thank you so much

[@tombob641]

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]

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

[@boitumelopitso6825]

that’s what i did as well

[@gudforyou9103]

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

[@sugawaraaa9167]

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

[@whizzriz8139]

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

[@potati4097]

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

[@sugawaraaa9167]

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

[@jamespinder8381]

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?

[@yopolis4523]

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]

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]

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

[@unknown-wm5ls]

These videos are genuinely a life saver, thanks.

[@chillvibes1748]

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]

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]

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

[@jacklordeyey8546]

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]

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

[@vaed1651]

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

[@Bxbyjyyy]

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]

1 over root 2 is equivalent to root 2 over 2

[@Amir-nv6cs]

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?

[@antonytembo3120]

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]

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

[@mohammedalharthy2789]

well done, thank you sir

[@TheGCSEMathsTutor]

You are very welcome!

[@jeffjeffson5967]

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

[@TheGCSEMathsTutor]

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

[@jeffjeffson5967]

@@TheGCSEMathsTutor Thank you sir.

[@SeoYejun-tf8dc]

You are my life saver🎉

[@ff_cobra_kai]

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

[@dionthomas2967]

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

[@arzaadkhan501]

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

[@katherinemb.6308]

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

[@malulu.9118]

this is really helpful thank you so much

[@mathsmeadow5106]

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

[@wethan9569]

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?

[@alisonjalon13]

this was so useful, thank you!

[@davidhill8163]

Many thanks for breaking this down slowly and step by step

[@numan4166]

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]

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

[@jozimaps9420]

You are incredible

[@TheGCSEMathsTutor]

Thank you so much 😁🙏🏼

[@FraserGibbs]

Cheers bro, this video is an absolute life saver 💪

[@sanzusbbl9844]

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

[@chocolate8818]

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

[@kola7483]

banga vid like usual chap

[@TheGCSEMathsTutor]

Thank you! Glad to hear it 😁🙏🏼

[@Washingmachine256]

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

[@badoublenana]

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

[@williambailey9343]

Neither do I. Any explanation?

[@sugawaraaa9167]

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

[@sugawaraaa9167]

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

[@williambailey9343]

@@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.

[@sei7082]

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

[@Mariane_iiv]

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

[@jamie7707]

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 👍👍👍🔥🔥🔥

[@ImranAwan-n9s]

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

[@charliecampbell5598]

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

[@JenniferOnyemaechi]

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

[@FotsapEmmanuel]

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

[@tasangerbakes]

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

[@MuhammedKhabbab]

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

[@dontclickonmyprofilepictur7561]

yh thats what i thought

[@Remus786]

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

[@riotza7597]

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

[@tinashemangumba1169]

Thank you so much u really helped me

[@lemonadechilli172]

You saved my exam mate very helpful thank you a lot

[@ethanmather465]

17:00

[@Henry-sp3ku]

top quality mate

[@leotang3242]

please do more pure maths video please!!!!

[@fire-wo5wz]

ppl do anyone know smone who does igcse chem and physics

[@straymite707]

Thanks so much this is really helpful for revision!

[@Oath_Keeper1979]

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

[@roxc453]

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

[@courtneylust]

@@roxc453 lol same

[@mistermusab8055]

23:13

[@ippo5005]

Thank you

[@sassinemselabe1496]

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

[@hi-pg9bp]

Thanks

[@26Uncovered]

I'm so cooked

[@user-mx6hd7gg6k]

Endless pain and suffering I am tired

[@Ja-od1mh]

Where’s r cos alpha vid

[@Sofia-gk9sn]

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

[@BarniDeDino]

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

[@geezer1024]

tired

[@beamboy07]

Kms

[@asmaa1853]

Thank you 💖💖

[@rissikesthiyagarajah2205]

Thx

[@castor5580]

If this is a level maths me is whole alphabet 😂

[@areefilyas8850]

W video

[@BobBob-uv9fq]

3;30 mins in and no obviously

[@nhlanhlafuzane3535]

roasted

[@Rayaann]

Worst chapter in alevel maths

[@Amir-nv6cs]

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]

Thank you

[@Amir-nv6cs]

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]

THANK YOU

[@zoe.nothando]

thank you