Sine and Cosine Rule 2 (GCSE Higher Maths)- Exam Qs 18

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This video is a tutorial on Sine and Cosine Rule Questions. You should have already watched the Sine and Cosine Rule 1 Tutorial 17. This video is for students attempting the Higher paper AQA Unit 3 Maths GCSE, who have previously sat the foundation paper. Explanations are aimed at being as simple as possible and so students who previously did the Foundation paper can access. They would also be useful for students who have always sat the higher paper. www.hegartymaths.com www.hegartymath...

[@okcoolros4121]

I went from an E- to a B all because of these videos! 😄 thank you so much sir you're a lifesaver!!

[@commandaavocada9722]

Did you graduate? I’m happy for you

[@HEGARTYMATHS]

SOHCAHTOA. Draw a width of river in as a line from a to the bank at right angles. This gives you a right angled triangle with angle 180-100 = 80. Then use SohCaHToA. I've done the full answer to this question in one of the practice papers - check it out if still stuck. Good luck tomorrow. Mr H

[@animeman7915]

I don't know what to say. I've subscribed and liked your video, visited and voted your website made an account but i still think you deserve more :l

[@HEGARTYMATHS]

+Anime Man You are totally welcome. Thanks for taking the time to say thank you. Best wishes and keep working hard! Mr H :-)

[@HEGARTYMATHS]

You're very welcome!

[@vishkkkha9710]

its amazing how your video still helped me out understand what I thought was very hard... Thank you!

[@FredoSantana90]

YOU ARE A LIFE SAVER,. I HAVNT BEEN ABLE TO UNDERSTAND THIS FOR 5 YEARS OMG WHO NEEDS TEACHERS WHEN UR VIDEOS EXIST.

[@beulahkuku7500]

You are an amazing teacher and I have a lot of gratitude that you let people learn from your videos for free. Thank you for helping everyone Mr H.

[@hassanlearning4086]

I just wanted to say thank you. Ever since I found your channel I've learned so much.

[@trafalgertradingcoyltd]

This helped me a lot thanks! I'm in college but studying GCSE higher maths so I can do A-level next year :) I became a master in 1 lesson! 100% accuracy :D

[@flozy5275]

this video has really helped me to think whether its cosine or sine and its helped really well

[@husnahussain7225]

You are the best teacher in Europe.

[@ryanlife1802]

Examples are good, they make a lot of sense and the concept is easily grasped. Its just that when you deal with 3 dimensional examples and theta alpha and beta, instead of using proper numbers.(If you know what im saying)

[@HEGARTYMATHS]

You are welcome! Mr H

[@afrinnigarcalik6344]

You are amazing sir , you are simply suberb no word to praise you .god bless you .

[@HEGARTYMATHS]

Nicole. My guess is your calculator is in radians mode not degree. It must say DEG at the top of the calculator screen. Change this if so in settings. If it's not this can you give me an example of something you type, the answer you get so I can see what you're doing wrong. I'm sure it'll be an easy fix...

[@HEGARTYMATHS]

Cheers and the very best of luck Jacob!

[@mojtaba4807]

You are the best hegarty

[@HEGARTYMATHS]

Ryan. That's why you need to do past pare exam questions video after . These go through every exam question on topic and are harder and will help you get goo d at exam standard questions.

[@M7j3]

thanks you you saved many people lifes

[@targeto12]

Thank you soooooooooooooooooooooooooooooooooooooooooooooo much u have helped me a lot.

[@RuthieOnTheMobile]

Thanks for these worked examples! I've never done sine and cosine before and the previous video was great for giving me confidence to do these examples, which I'm pleased to say that I got them all right! I'm a happy subscriber and between you and maths247, I'm going to pass my exams next year!!

[@JadaNdatega]

The last question. I first found angle C by using the cosine rule. After that i realised Angle C and length c are both present. So i used th sin rule to find angle A because little a's length was given. When i did tht i got 60 degrees and not 120. Pleaaaseee help!

[@Nycamo09]

I've got gcse's in 3 weeks and I'm doing higher. I think your videos really help.

[@HEGARTYMATHS]

Aaron really delighted if I have helped. Best of luck tomorrow and keep the hope for the 113. Best wishes and let me know how you get on. Mr H

[@HEGARTYMATHS]

Ryan. That's why you need to do past pare exam questions video after . These go through every exam question on topic and are harder

[@Razorcrazytv]

ur currently saving my life

[@Aadil2k13]

how did you get 107, when i type it into the calculator i get 53500. its even in degrees mode

[@tyreseturner3077]

aadil patel he’s a mong

[@biswashere8013]

Well... i'm going to be doing my GCSE's in 2017 and they've removed the formula booklet...

[@Cherry-sy6jz]

BisWasHere u wot

[@GemsAndBenefits]

Some advice: It's better to memorise the formulas whether you have them or not. Why? Because if you can't memorise them then it's most likely you won't be able to identify when and how they are meant to be used. When I first saw formulas like the quadratic formula and the cosine rule etc I was like oh god I'll never remember them. However, after I practised using them so much I realised that I was so used to writing the formula down that I stopped looking at the formula to copy it down and was writing them from memory and I was amazed with myself. So that goes to show the best way to revise maths is to practise practise and practise and it's just like the old maths saying: Don't practise until you get it write, practise until you can't get it wrong :) p.s I too am in year 11 doing the new specification so in the same boat as you lol

[@MohamedAli-mz8ue]

Abū Mūsa al-Atharī mashallah jazakallah

[@bethford2148]

Thank you so much! I don't know what I would've done in my exam tomorrow without your help.

[@maisie2638]

160^2 + 200^2 - 110^2 always gives me 53500...? I end up with the fraction 53500/64000 and I have no idea what I'm doing wrong. Any ideas?

[@maisie2638]

and then cos^-1 (53500/64000) = 34.1

[@eGazTheFirstAustralian]

Hi Maisie Lemmon, did you ever receive a reply to your question. I'm with you, impossible to get 107. even standing on someone else's head, looking at the night sky and heading toward stardom.. The answer is never 107. Therefore the calculation can't be correct.

[@maisie2638]

I didn't but thank you for replying (and it seems like you agreed with me, that's a plus!) Unfortunately I have no idea what any of this means anymore because my GCSEs were 2 years ago.... BUT on the plus side I did get a B so obviously none of that stuff was very important anyway...

[@eGazTheFirstAustralian]

Hi Maisie, so, well done on your exams. I think you deserved a reply from hegartymaths but hey, maybe they couldn't work it out either. I have sent an email to them asking for assistance but so far no reply. Atb

[@adeelali8417]

QUESTION 17? WTH.. COS-1(0.4117) GIVES ME 65.68.... Please Reply!!

[@reza4975]

It's got a minus to it. A easier way to it is to just do: COS-1(-28.01/70)=113.587....

[@caedknight1218]

+Medical Student but isnt it the ambiguous case

[@luvnishvarma9938]

YOU HAVE TO TAKE MINUS 0.4117

[@shalom3276]

Great video thank you so much! I got them all correct however, I think you got question 17 wrong. Correct me if I wrong but I was taught that you change negative from positive for example I did A = cos-1(0.4117) = 65.7 degrees not A=cos-1(-0.4117) and now I don't know which way is correct :(

[@ETHANCUELLO-uy9jz]

I am also confused since I got 65.69 (same as 65.7) and I am wondering which way is correct

[@shakeelshahul9717]

thank you ,really help ful

[@tahamohammed3297]

7 years ago I watched ur vids before my gcse and now I'm a millionaire i don't know how to thank u

[@orange_penis]

lol

[@HEGARTYMATHS]

Anthony - it's just a terribly drawn exam question. The work is correct but appalling drawing. It does day not accurate but I agree it should make an angle that is more than 90 look so. Great point though!

[@LukasanaTK]

very well explained, thanks alot for your efforts.

[@abdullahwmousa]

Thanks great videos Great teacher I found this very helpful.

[@salmanmalik7307]

I have watched lots of Videos from you, and they really helped me to understand trigenometry. Really appriciating it and have just subscribed you channel. Great work dear.

[@stea189]

I did first one using sine rule , to see if you could ,and you can,a bit more to it ,but still same ans.

[@AaronColeish]

These videos are actually amazing...In the last 2 days I have basically learnt nearly the whole of Unit 3 which I didn't know (which is all of it! XD) So much better than my teacher .. shame i found these just too late , Need 113 UMS out of 120 to get an A tommorow which is unlikely but im confident on getting a B now thanks to these. Thanks!

[@nicoleadrineda2832]

Mr H, my calculator is aldready in degree mode. i think i have a trouble in labeling, or does it really matters? because, when i tried to answer your test, "find the angle BCD", i was about to get the same solutions but when i was finally getting the angle, like for example, your given measures were 10.14cm, 7cm, and 5cm and then i labeled the 10.14cm as my b,and 7cm as my c, and 5cm as my a,then i substitute it to the cos rule concerned in finding the angle,but i didn't get the same answer :(

[@ryanlife1802]

Thank you, I apologise if i came cross a bit arrogantly I didn't intend on doing so. Other wise honestly thank you for the video, was truly brilliant. it made my thoughts toward this topic much more clear. Do you by any chance have past Exam papers for me on this topic?

[@aishablack2426]

Thanks a lot!

[@ParkNiloo]

YOU SAVED MY LIFE *_* Thank you dear teacher ! I got everything clearly ^_^ (my idiot teacher -_- she is explain everything so complicated )

[@syamalavaddadi3749]

Appreciate your work on these videos.

[@mrknight2124]

thank you

[@HEGARTYMATHS]

You are so welcome mundher almoosawi Check out the website www.hegartymaths.com/ for loads more free help. Best wishes with your maths. Mr H

[@HEGARTYMATHS]

mundher almoosawi Hiya Mundher - thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

[@eGazTheFirstAustralian]

Gotta say, i am totally lost at the outcome of question 14 (3.26). Never in a million years will 160^ + 200^ - 110^ ever equal 107. But you seem to roll with it. How ever do you get 107 from those figures??? For me the answer is every time 535,000. Please advise.

[@nkhanam1268]

I am totally impressed by you. Thanks

[@theowarner744]

both videos excellent!!!!!!

[@HEGARTYMATHS]

You are so welcome Theo warner Check out the website www.hegartymaths.com/ for loads more free help. Best wishes with your maths. Mr H

[@HEGARTYMATHS]

Theo warner Hiya Theo - thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

[@jhjbkj5488]

if it asks to find the angle of BAC, are we looking at the middle alphabet, which is A? Is that right?

[@freddiei123]

Just carried on going through the video and I'm fairly certain you got Q17 wrong. I came out with 72.96 degrees. You had an obtuse, but it looks like an acute to me. Please correct me if I'm wrong? :) Your videos are very helpful btw, I'm just double checking my working from yours :))

[@user-hg9ru7jw3z]

But didn't it say in the diagram that it isn't to scale? So you can't rely on the actual drawing I'm guessing, cos I thought he got it wrong at first as well :)

[@freddiei123]

Sharon Balachandra hopefully you're right. I had my non-caculator exam yesterday :/

[@rfhdoc1]

On Q17 09:49 secs of this video I work out that the side is 10.14cm. However, when I put the formula through my calculator the top half comes out at -28.01. Then I do the bottom half -28.01 / 2 x 7 x 5 = -490.175. Then I should cos -1 it to get answer I get error. I use the formula but don't get the answer you get before you cos -1 it. Any ideas?

[@nicoleadrineda2832]

Mr H, i have a problem about substituting the given measures of the sides, i've done the same procedures but i don't get the same answer :(

[@x123Scandalx]

murked every single question...thanks man!

[@jochemterbogt5310]

Helpful Thank you!

[@HEGARTYMATHS]

You are so welcome Jochem tet Bogt Check out the website www.hegartymaths.com/ for loads more free help. Best wishes with your maths. Mr H

[@HEGARTYMATHS]

Jochem tet Bogt Hiya Jochem - thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

[@jacobhenderson34]

Thanks a lot this is really helpful, hopefully tomorrow this comes up need these big marks.

[@shahidarazak3402]

excellent

[@TheJohnnyCombat]

Thank you very much for all your great work! JC

[@HEGARTYMATHS]

It's ok Ryan. These example in Sine and Cosine Rule 2 (GCSE Higher Maths)- Exam Qs 18 above are the past exam questions - all of them. The video before is where I go through the learning in depth. These type questions should cover all you need. Are they ok?

[@noreenali5821]

I wanted to ask how do u identify if u need to use sine/cosine brcause i get confused in the tests at school as i cant identify which one to use-even though u explained it at the start

[@sulkamara806]

Thanks

[@benitabardewa4718]

thank you thank you thank you thank you so much you are amazing

[@HEGARTYMATHS]

Benita Beniz Hiya Benita - thanks loads!!! A favour to ask....Any chance you could spare 30 secs to vote for HegartyMaths in this Richard Branson competition which ends in a few days. Would mean a lot to me and HegartyMaths. www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/ Thanks Mr H

[@hcithomas2125]

Thanks you for the help. I was on mymaths and i dont get how to find and angle when all sides are given but the angle is an obtuse because the answer is always minus please help much appreciated

[@hcithomas2125]

it was because 2 negatives make a positive so the square rot turns to a positive

[@usmanqamar2639]

Daniel is

[@tonitoni112]

thank u very muchhh, these videos helped me a lot

[@HEGARTYMATHS]

check out maths247 on youtube. He may do some different examples that would hopefully help?

[@nicholaspowell1859]

love your work xxx

[@aldo8379]

What is the app he uses to write on pdf ?

[@zeeshansalabat537]

nice one and voted! are all these topics suitable for AQA LINEAR B or will i also need to revise some other topics or is this all i need to get an A

[@ruthabraham3356]

you are just amazing .

[@HEGARTYMATHS]

Ruth Abraham hiya Ruth - thanks loads for the message. Please take 30 secs to vote for me to help keep making videos for free for you and kids in the future. You could also win £10k so share with your family. Thanks so so much. Mr H : -) www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/

[@HEGARTYMATHS]

Ruth Abraham I need your urgent help. Get as many people as you can to vote before 10am Tuesday morning. We're losing :-( We need the votes to get us through. Thanks loads. Mr H :- ) www.virginmediabusiness.co.uk/pitch-to-rich/start-up/hegartymaths/

[@TT_MathAcademy]

Question 17 ,i think its incorrect ,by just looking at the diagram its an acute angle, less than 90 degree,hence the answer has to be less than 90 degree. Please re-check answer. You got 114.3 degree.

[@rajkaransingh5294]

fkhan37tt khan it’s definitely 114.3°, just because you think it looks like an acute doesn’t mean it will be one. It clearly states that the diagram is not draw accurately

[@kushkhatri3564]

Shouldn't Q-14 be answered using the cosine rule but you answered it with the sine rule

[@matcookie12]

+Kingline 5858 No, you only use the Sine Rule if there is a matching pair. Watch his previous video for help :)

[@ChsonlineOrgUkinternetschool]

Professional

[@mariiam108]

Thanks this helps me a lot for tmrw:-)

[@courtneyrodgers1462]

I get really confused on how you know to use either the cosine rule or the sine rule?

[@HEGARTYMATHS]

Hi Courtney Rodgers You need to watch the first video on sine/cosine rule where I explain clearly how you use each. This video is the exam practice video. Here is a link Best wishes. Mr H www.hegartymaths.com/gcse/aqa/higher/shape-space/v/sine-and-cosine-rule

[@courtneyrodgers1462]

Thank you!! That was very helpful indeed:)

[@danielwarneck7571]

HEGARTYMATHS do have have videos on coordinate geometry?

[@vsnz845]

HEY HEGERTY I LOVE UR MASCULINE VOICE HMMMMM MAKES ME FEEL SO YUMMY INSIDE I AM GOING TO FAILS MY GCSE BEACUSE OF MY MATHS TEACHER MR AGHMATAJ HE IS A POOR MAN WHO LIVES WITH HIS MUM STILL WHICH I FIND VERY SEXY AND ATTRACTIVE I STILL GET GUD GRADES CUZ I SUCK HI SAUSAGE ALL THE TIME AND HE GILVES ME A C BUT IF I LET HIM PUT IT

[@michaelmarere7841]

the angle BCD should be less than 90 i got 65.6 13:57

[@AliHussain-in2sp]

I am in gcse right now however I applied for math and further math do u have any vids

[@tejaskumar8819]

WITHOUT THIS MY MATHS EXAM WOULD HAVE GONE SOOOOOOOOOO BAD.

[@mariojoseph3453]

how did u got 107?????

[@taylordelacruz6171]

Hi there, I am just quite stuck on something for the question featured on 13:17 . So first of all, great video! It helped me a lot for my Homework, however, how comes when I do "inverse cos" to an improper fraction, such as 151.81/150.8, it says Maths Error? Help please?

[@DavidSmith-gi2lm]

+Taylor Dela Cruz 151.81/150.8 will give an answer >1 which is impossible for the cosine function. Check those figures again. Your calculator should be capable of dealing with cos-1(150.8/151.81) for example

[@usmanqamar2639]

question 14, you did the same question using the SOH in the right angle triangle exam question video. now, I am really confused. I have exams in a week.

[@AnthonyChanWeddingMagician]

I think the maths is wrong on question 17. Even not drawn accurately, angle BCD is clearly less than 90 degrees.

[@AyshaFilms]

thanks a lot!

[@freddiei123]

(160)2 + (200)2 - (110)2 = 53500.... How come you got 107?

[@s.n9979]

I got that to. But in my calculator when I put the whole fraction in ( 53500/64000) it simplified it to 170/128

[@reza4975]

Don't stress your self, it will give you the same answer, it's just simplified.

[@adrianalukacova8526]

Simplified by 500😉

[@619hhh7653]

@HEGARTYMATHS for question 14, how do you work out the width afterwards?

[@tihainaaana5133]

Hey please upload more videos

[@nicholaspowell1859]

you are beast

[@usmanqamar2639]

Question 17 is wrong... I get a different answer.

[@jimmyalderson1639]

1:40 lol! You used to get formula booklets! Not anymore you don't

[@Trinicngiselle]

can u plz enlarge the images thanks

[@ryanlife1802]

Bro your a very good maths teacher just upgrade your examples. i understand its for beginners, but im a beginner too and these examples are good but what we get in the test is scary to what you are showing us. :(

[@nyanparmar3875]

NICE vid man

[@ayoosiyale1893]

question 17 is wrong cosA=0.371

[@michaelduke9086]

Side opposite the angle should be the same letter only lower case. You made a mistake.

[@jacobking4132]

Thank you very much, helped loads, my maths teachers shit

[@AaronColeish]

the one I am doing is not.It's 120.

[@duncanbrearley6720]

I GET 856000000 FOR FIRST EXAMPLE??

[@manalmherbi1412]

Dude i think u solved the question wrong at 13:57

[@verocaleb137]

Dear virtual teacher I have no idea if I can fall any further in love with u..thank u

[@sampsonahomah3264]

The letters are not legible and your writings tend to obliterate the given angles and figures. Please, do something about it. Thanks

[@AliHussain-in2sp]

A-level