Trigonometric Identities 1

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  • Опубліковано 11 гру 2024
  • A Level Maths revision tutorial video.
    For the full list of videos and more revision resources visit www.mathsgenie.co.uk.

КОМЕНТАРІ • 96

  • @gregl2249
    @gregl2249 Рік тому +7

    Absolutely Genius way of presentation ----graphics and VoiceOver ---dont change a thing and keep the videos coming!!!!

  • @mollyabowden
    @mollyabowden 3 роки тому +65

    not me watching this the day before my year 12 maths exam because i don't get trig AT ALL lmaoooo

    • @mo3dels163
      @mo3dels163 3 роки тому +2

      pleaseeeee got until monday to learn this shit

    • @mollyabowden
      @mollyabowden 3 роки тому +4

      @@mo3dels163 not to alarm you but mine was dreadful, good luck lmao

    • @imdauntless
      @imdauntless 2 роки тому

      me right now ffs

    • @zainabnawaz4587
      @zainabnawaz4587 2 роки тому +5

      Girlie I’m watching 2 hours before my alevel year 2 exam😭😭💀

    • @mollyabowden
      @mollyabowden 2 роки тому

      @@zainabnawaz4587 omg hey I'm scrolling through tiktok and youtube notifications to avoid last minute revision for mine at 2pm 😍😍 good luck tho

  • @hshakeel4927
    @hshakeel4927 4 роки тому +19

    Thank you so much, I have me mock today and had forgotten this

  • @alvardavidsson5933
    @alvardavidsson5933 3 роки тому +36

    Thank you sm, been struggling with trig for so long

    • @ikec-pw5sb
      @ikec-pw5sb 3 роки тому +10

      Trig is a pain in the neck lol

  • @maisenpai8378
    @maisenpai8378 4 роки тому +10

    Sooooooo good explanation thank youuuuuuu u r more good than my coaching teachers

  • @maxhedges4167
    @maxhedges4167 6 років тому +43

    For the last one there is an easier method.
    1) 5sin(x) - 4tan(x) = 0
    2) 5sin(x) = 4tan(x)
    3) Then divide all by tan(x)
    4) 5cos(x) = 4
    5) cos(x) = 4/5

    • @yari_dawg
      @yari_dawg 5 років тому +7

      I think the idea is more to show how that identity can be used, not so much the easiest way to do the question overall

    • @youknowmeg7712
      @youknowmeg7712 5 років тому +16

      u lost some answers

    • @menakles
      @menakles 4 роки тому +10

      Like YouKnowMeG said, you lose a whole bunch of solutions. ie, where sin(x) = 0

  • @hanzalaahmed5590
    @hanzalaahmed5590 2 роки тому +2

    7:15
    i dont think we take -ve sign while doing inverse. we just use it to determine the quadrants(correct me if i am wrong)

  • @ssilvex6435
    @ssilvex6435 3 роки тому +14

    Very helpful, just what I needed!

  • @zanonoza4918
    @zanonoza4918 7 місяців тому

    The struggle with trigonometric identities is over . Thank you 🙏

  • @jiojio-rm8wy
    @jiojio-rm8wy Рік тому +1

    Absolutely genius video, you save my gpa😭

  • @arifchagla8752
    @arifchagla8752 Рік тому +2

    I don’t understand how you factorised @10:45

  • @sitinjihah
    @sitinjihah 3 роки тому +6

    thank you so much i have been struggling to submit my assessment but this video really help me. thanks again.

  • @hariskhan89
    @hariskhan89 4 роки тому +2

    YOU ARE THE BEST

  • @mesharialmoteriy1359
    @mesharialmoteriy1359 3 роки тому +1

    5:14, Where did the other -1 go?

    • @marioavilla7680
      @marioavilla7680 2 роки тому

      If you're talking about the 1 on the left then that's a +1 and you have to make the equation =0 so you take away the 2 on the right from 1 which gives you -1

  • @nahiantahmeed1647
    @nahiantahmeed1647 3 роки тому

    Thank you ao much man, It really helped me out

  • @lolvideos5567
    @lolvideos5567 5 років тому +10

    How do you know after you get your answer whether to add 180 or take away 360? And when I learnt this in class i remember having to use a cast graph/table, is this not required with this method?

    • @lolvideos5567
      @lolvideos5567 5 років тому

      *take away 180

    • @lewispullan6725
      @lewispullan6725 5 років тому +18

      @@lolvideos5567 It's because of the sine, cosine and tan graphs. He sort of explained it with the sine graph. Basically, for cosine there are two maximum cos values which are found at 0 and 360 degrees so therefore to find all the answers you must take away your answer from 360 first and then you try adding 360 to your original answer to see if it's still within the limits that the question gave you. If you look at the sine graph you'll see that there's only one maximum sine value which is at 180 so therefore you take the answer away from 180. Tan graphs are a bit different and if you have a look at the shape you'll see that when you add 180 to your answer then you'll get the same tan value. In simple terms if your angle came from cos then 360-answer, if it's sin then 180-answer or tan is answer+180. I would highly recommend you find another video solely explaining this as I know for a fact I explained it badly and there is more detail to be added or to ask your teacher as they will be able to answer it much better and give you all the detail you need to fully understand it. Hoped this jogged your memory or at least helped a little bit :)

    • @lewispullan6725
      @lewispullan6725 5 років тому +2

      @@lolvideos5567 Here I think this video of his explains it a lot better than I did ua-cam.com/video/5lu4a_fXq0E/v-deo.html

    • @lolvideos5567
      @lolvideos5567 5 років тому

      @@lewispullan6725 thanks alot man Imma check it out

    • @Hugjai
      @Hugjai 5 років тому

      @@lewispullan6725 do you know why he divides the equation by the hyp on 1:03? I understand that you have to do that but I don't understand the concept behind it. It doesn't make sense to me.

  • @randomee6493
    @randomee6493 2 роки тому +2

    My teacher taught it in speed and the whole class didn't understand nything including me and maths exam is this week 💀

  • @brokke8388
    @brokke8388 6 років тому +4

    thank you for the help!

  • @swedlepop7092
    @swedlepop7092 2 роки тому +1

    how did you get 1/6 pi? what calculation

    • @randomfellowhumanhere
      @randomfellowhumanhere 2 роки тому +1

      you have to change the mode of your calculator from degrees to radian.

  • @Physics-Momentum
    @Physics-Momentum 2 роки тому +2

    Easy and fun until i start solving the exercise

  • @ann8428
    @ann8428 2 роки тому

    If you only have sin without the feta can you still apply the rule sin/cos =tan

  • @molly51
    @molly51 3 роки тому

    me watching this 15 mins before my mock trying to understand the topic

  • @HiOwl
    @HiOwl 3 роки тому +1

    I don't understand the shift tan(3/4) = 216.9? can anyone help me out??

    • @Ayasir-lo3ir
      @Ayasir-lo3ir 3 роки тому

      The calculator says it’s 36.86….

    • @lainadriver4433
      @lainadriver4433 2 роки тому

      He added 180 degrees cause tan graphs do a full cycle at 180 degrees. They come back to the same y point but with different x points.

  • @elinaphiri8316
    @elinaphiri8316 3 роки тому

    Thanks so much ❤️💚

  • @danielpearce5213
    @danielpearce5213 Рік тому

    Thanks so much!

  • @Samantha0702
    @Samantha0702 6 місяців тому

    Why did you add 180 with answer once time but 360-ans the other time? Didn't understand (my exam is in a few hours 😭)

  • @sxhell_007
    @sxhell_007 5 років тому +2

    Thanks man!

  • @esoculgatika7860
    @esoculgatika7860 4 роки тому

    anyone know where the 2pi in 18:59 is from?

    • @beccasouthwick
      @beccasouthwick 3 роки тому +1

      once you’ve found two solutions when ur solving a sin , you add 360 degrees (or 2pi) onto both answers to find the next ones in . it’s easier to understand if you draw a graph , but essentially it’s because it goes up and down in the y axis , every 180 degrees

    • @marioavilla7680
      @marioavilla7680 2 роки тому

      @@beccasouthwick so you add 2pi to 0 and pi?

    • @beccasouthwick
      @beccasouthwick 2 роки тому

      @@marioavilla7680 yes !

  • @ajakshow4773
    @ajakshow4773 3 роки тому

    Well done

  • @cHiMchIm006
    @cHiMchIm006 3 роки тому

    Thank you so much!

  • @leenalshaikh1501
    @leenalshaikh1501 4 роки тому

    why in 11:06 you subtract by pi not 2 pi?

    • @justArandomfellar
      @justArandomfellar 3 роки тому +1

      For sin it's - 180 for cosine it's - 360. For tan it's +180

    • @justArandomfellar
      @justArandomfellar 3 роки тому +1

      @Mr M lol I commented that so whole ago that now I don't know what it means now! 😂😂 I must've known it back then

    • @amongus-ci3pq
      @amongus-ci3pq 2 роки тому

      @@justArandomfellar tysm

  • @marilyn6445
    @marilyn6445 3 роки тому

    Thank so very much sir

  • @homermilkshake6536
    @homermilkshake6536 5 років тому +1

    6:50 Why did you take away 360 from the answer?

    • @WikiPages
      @WikiPages 5 років тому +2

      because its on the cos graph which is symetrical

    • @catalyzt7162
      @catalyzt7162 5 років тому +15

      @@WikiPages i have no idea what you said but i'll just minus 360 from the answer

    • @MrEmberCraft
      @MrEmberCraft 4 роки тому

      @@catalyzt7162 it is because the graph is the same at each side, to work out the other side you can simply take 120 from 360 (hence 240). Taking 360 works too but the sign would be wrong (as it does not go into the negatives for this I guess it would be actually wrong)

  • @michaelcurgenven1601
    @michaelcurgenven1601 3 роки тому

    where the reciprocal trig identities at

  • @binodtharu4910
    @binodtharu4910 2 роки тому +2

    Why for sin in radian and for cos in degrees ?

  • @pbsciencetacular7688
    @pbsciencetacular7688 5 років тому +4

    Why do you calculate 360 take away the first answer to get the second answer?

    • @naomi5710
      @naomi5710 5 років тому +1

      PBsciencetacular he has another video on that I recommend watching it

  • @marxcarton3858
    @marxcarton3858 Рік тому

    easiest method: substitue
    1. 5sin(x)=4(sin(x)/cos(x))
    2. 4cos(x)=4sin(x)/5sin(x)
    3. cos(x)=0.2/4
    4.find x in cos(x) using quadrants then multiply by pi then divide by 180.
    5. substitut cos(x)=1/5 in to the equation and workout for sin(x).

  • @xanderbulter-davies5800
    @xanderbulter-davies5800 3 роки тому

    Thank you sm

  • @lunablue6855
    @lunablue6855 3 роки тому

    is this for A2 or AS?

  • @sea5205
    @sea5205 6 років тому +2

    Thankyouuuu!

  • @heyjingni2322
    @heyjingni2322 3 роки тому

    sorry but 5:06 i dont understand how did 2 become -1 because how did you subtract 2 from the other side when there is nothing to subtract?

    • @justArandomfellar
      @justArandomfellar 3 роки тому +1

      1-2=-1

    • @tanzeenakter8892
      @tanzeenakter8892 3 роки тому

      @@justArandomfellar can you please tell me why did it get it subtracted by -1?

    • @justArandomfellar
      @justArandomfellar 3 роки тому

      @@tanzeenakter8892 there was 1 on left hand side and 2 on right hand side.
      When you bring the two over to the left hand side it becomes negative. So. 1 - 2 = - 1

  • @evolvinggenius198
    @evolvinggenius198 3 роки тому

    thanks a lot

  • @johnlungu2439
    @johnlungu2439 2 роки тому

    How is sin+cos =1?

    • @zanonoza4918
      @zanonoza4918 7 місяців тому

      Let SIN be squared added to squared COS .
      Put it mathematically ____ sin²+cos²=1.
      You cannot add sin together with cos , and end up with 1 . The two have to be squared .
      Hope that helps.

  • @stevekamdem503
    @stevekamdem503 3 роки тому +1

    Who comes from cameroon here???

  • @Zxkimxha
    @Zxkimxha 2 роки тому

    im in year 3 but im so smart im in year 11

  • @infires2013
    @infires2013 5 років тому

    Anyone here from bayhouse? Yh thanks Mrs R...