3D Trigonometry and Pythagoras - GCSE Higher Maths

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A video explaining how to solve problems using trigonometry and pythagoras in 3D. This is suitable for the GCSE higher maths course.
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Topic requested by ‪@dzung1969‬
0:00 Introduction
1:08 Exploring right angled triangles
2:24 Example 1
3:18 Example 2
4:08 Example 3
5:35 Example 4
8:03 Example 5
12:12 Example 6
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Опубликовано:

29 июн 2024

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Комментарии : 64

@Domo-jg8bt 2 месяца назад

Another life saver by 1st Class Maths! I think we all can't thank you enough.

@stockvideoslive8862 25 дней назад

flipping brilliant mate, touch me everything i needed to know the night before. have a great one xx

@llunaye9786 3 месяца назад

You’re my favourite maths teacher by far! It’s just a shame your videos don’t cover the whole syllabus

@1stClassMaths 3 месяца назад

Thanks that is very kind! I am working on it but it takes me about 10 hours per video. I do a lot of research and analysis of past papers to write the questions and the animating, recording and editing takes a while too. Hopefully one day I will have everything covered.

@jiljil569 Месяц назад

@@1stClassMaths Wow thats a lot, I really appreciate the time and effort you put into these videos. I dont know where I would be without your channel. Thanks so much.

@raypower01 Месяц назад

@@1stClassMaths god bless you

@ieatalot4189 28 дней назад

@@1stClassMaths great guy

@saadarshad9872 28 дней назад

nailed it, I can bet you once he has completed the syllabus he will be beyond Maths Genie

@Nokuanesu Месяц назад

Thankyou stay blessed

@mmustafa8917 2 месяца назад

Thank you so much . These videos are a life saver

@1stClassMaths 2 месяца назад

Glad you like them!

@unknown12475 21 день назад

So underrated ❤

@dzung1969 7 месяцев назад

Thank you sir 👍

@1stClassMaths 7 месяцев назад

Welcome!

@quigonkenny 2 месяца назад

I like that you mentioned to wait until the end to round. I've seen a number of other math channels not adhere to that idea. It always bugs me, as I always try to keep amounts as exact as possible until the end (inverse trig functions are particularly annoying in these cases, as there often are no "exact" amounts other than the trig expression itself), so my solutions come out slightly different. This can make it more difficult to verify I got the right answer, especially if I came about it via a different method than the instructor...

@1stClassMaths 2 месяца назад

Yes that is premature rounding and they shouldn't be doing that!

@seanchan08 3 месяца назад

it's always the wordings that catches me off, I know how to calculate the angle EGH (for example), but if the question were to ask me to calculate the angle between EF and the base ABCD, I wouldn't know what to do. Could you make a video on that please? 👍Thanks!

@arjuntoor8270 Месяц назад

I would say drawing out/shading the bases and lines your talking about would help you visualise it. Just connect the letters they say. You got this

@khinayemyint2148 13 дней назад

Thank you sir

@billyviolet2520 3 месяца назад

Thankyou so much this saved me the night before my test 😅

@1stClassMaths 3 месяца назад

You're welcome 😊Hope the test went ok.

@zeemish 28 дней назад

very clear thank you

@1stClassMaths 28 дней назад

Welcome 😊

@rayyansattarmirza3886 Месяц назад

What if in example 3, we were instead asked to find the length of the angle GC, how do you do that? please reply quick

@fuse2563 Месяц назад

How would we know which triangles we draw on are right angled or not

@kaikrane5490 Месяц назад

U require more recognition all the people u could help imma definitely get a 6-7 thx to u! U earned by sub

@1stClassMaths Месяц назад

Very kind of you

@kaikrane5490 Месяц назад

@@1stClassMaths :)

@umaryam1704 Месяц назад

Absolutely. Couldn't agree more.

@rayyansattarmirza3886 Месяц назад

IB Student?

@truckeralvarez5932 3 месяца назад

I think you can help me. This is the challenge. Given a 20 foot container needs to be lifted from the bottom corners and the angle at the top must be at 90 angle between diagonal chains (where the chain bends inwards) to the middle center of the container. What is the length of the chains, or just one chain, since it will be symmetrical? Container dimensions. L 6.06m H 2.59m W 2.44m

@ShahrukhKhan_OfficialYT 2 месяца назад

what’s f in 20f, I can help

@nanobots9550 3 месяца назад

can you do area and capacity problem solving please

@JamieKing-wn1qm 22 дня назад

When working out length of AG my math teacher taught me a cheat. Just do root 9^2+8^2+20^2 and u will get 23.3. Works for any diagnol length. However would u get all the marks in an exam like working out marks?

@1stClassMaths 22 дня назад

Yes you can do this.

@umaryam1704 Месяц назад

Can we use formula d^2 = a^2 + b^2 + c^2 for 3D pythagoras? Does the mark scheme allow it for edxcel GCSE? Do we still get full marks for correct answer?

@1stClassMaths Месяц назад

Yes

@umaryam1704 Месяц назад

Thank you for such a quick reply. I've just found your channel and love it.

@JackRobinson-sj2pt 2 месяца назад

If you didn’t use the full value of EA on Q5 for the last part would you loose the mark

@1stClassMaths 2 месяца назад

Possibly. Sometimes exam boards give a random of answers to it might need to be between 2 set values. The best, most accurate and safest thing you can do though is not round until the end.

@obama7828 Месяц назад

if you were given the base length in example 6, lets say for example it was 10cm. could you draw a line from M to the midpoint of CD and use pythagoras to find your perpendicular height using 15 as the slant height and 5 as your base height since M to the midpoint of CD would be half your base height which would be 5?

@1stClassMaths Месяц назад

I am afraid that would not work. The length from E to your new point at the middle of CD would not be 15. Look at the triangle EDC and you can see that your line goes right down the middle splitting it into two right-angled triangles. This means the hypotenuse is 15 but your line would be the height and not the same length. Hope that makes some sense! Basically it isn't 15 all the way around the pyramid.

@obama7828 Месяц назад

@@1stClassMaths thank you for explaining makes sense now i thought it was 15 all the way around the pyramid