How to solve trigonometric equations using the Quadrant Rule 

Hi I've finished A-Levels and although late I just want to express how grateful I am for your many A-Level maths videos! I went from getting an E on past papers to a B in my A2 exams. Thank you so, so much. Your explanations are amazing - whilst my teachers at school would just tell us to use the book and memorise everything, you actually allowed me to understand! Super helpful videos. Thank you so much

Thank you ever so much. You have saved me for my A level exam. I didn't want to watch this because of it's length and reluctantly started to, but then watched till the end. You have saved me, and I love your explanations because you give reasons why certain things are the way they are, instead of just stating what they are like. It helps a lot and I am so grateful for your videos. :)

I know this is old but it was really really helpful and you made everything so clear. I didn’t have a clue about this before I saw this video and now I feel much more confident. Thank you!

Couldn't have elaborated any better. Loved it.

Very helpful, was struggling to understand how to use these diagrams until now!

This was so helpful!! I needed this so much, thank you!!

Thankyou so much!!! I was stuck on this topic for so long and couldn't find anyone who was able to explain well @ExamSolutions the goat

this is the best explained and layout video. This format of teaching the cast diagram is awesome. legitttttt veryyyy gooooooddddd THANK YOU SO MUCH!!!!!!!!!

This is exactly what I needed and I usually can't find what I'm looking for. THANK YOU SO MUCH!

Honestly am happy that I finally understand this. Thank you so much. Stay blessed

thank you so much for this explanation. wasn't paying attention in lesson but now i get it, also the last topic i needed to cover before my trial exams next monday

Thank you for the help! I've missed so many of my Additional Maths lessons and I have no idea what's going on anymore! This is worth me staying up past midnight. I can finally be part of the class again!

Thanks. This was so helpful!!

Exam solutions thanks a lot. Finally understood the dreaded cast diagrams :)

Thank you so much for this, such a massive help!!:)))

Thank you have my mocks today!!!!

Thank you so much. You really have a gift in teaching math, sir. Keep up the amazing work!!!

thank you so much sir you explained it much better

thank you so much! this was so helpful

thank u so much

Thank you, you make me understand better

Hello sir. You have great videos, I have started AS and I will be using your videos thanks.

Top lad. Thanks mate

This literally saved my life. Thank you.

Thank you sooooo much!!!!

Thank you. Helpful video

amazing , thAnk you so much

This is so helpful thank you

thanks! really good explanation :D

So helpful. I can't thank u enough. I do struggle in identities do u have a video of it.

thank you so much i couldnt understand it at school because of the c*rona virus and when i saw this video i slowly understood thanks alot :)

Thank you so much sir❤️, this topic has been giving me problems

Thank you, that was very helpful:)

Thankyou so much.

This is such a great video. It helped me alot. Thank you so much. I faced so much difficulties in solving trig eq because of this step. Thank you again.

GOOD STUFF 👍

Nice video!

Great explanation

thank you i love you

Thank you

Thank you so much sir, I have a test today and was stressing about this specific chapter, and now I finally get it!

absolute g, thanks u legend

Thank you! New subscriber here

Thank you for these videos!! I am dyslexic and your videos are perfect so clearly layed out, coloured and calming

Living Legend!

Thankyouuuuuu

Currently doing ocr FSMQ and this is sooo helpful. My teacher briefly touched upon CAST diagrams but I never really got it, now I understand it fully from this video and the previous quadrant rule video thank you so much ❤️

I never understood this and now i completely get it!! THANK YOU!!

We would be greatfull if you could do some videw using negative radius

Thank you for your videos! now I understand what the quadrant rule is :D

Awesome

YOU SAVED ME

Test tomorrow!! Really really helpful! Hahaha... Thank you very much!

i can't belive they just added this to IGCSE 2020

Helped loads thanks a million

thankssssssssss

Well explained, thanks! One way I learnt about Quadrant Rule from Pro. Adrian Banner of Prinston University in his online videos is "ASTC = All Station To Central", All is +ve in the Q1, Station for Sine only +ve in Q2, To for Tangent only +ve in Q3 and finally Central for Cosine only +ve in Q4 !

my hero

Managed to understand this in 20 mins when my teacher failed to teach . Thank you

Thanks, I was stuck with my homework now I know how to dew it.

I swear I've my gsce mock tommrow and if this is on it I'm going to cry

Thank you so so so much!!!!!

FINALLY NOW I KNOW HOW TO SOLVE IT

When you draw on the lines into the quadrants, how do you know there is only one solution per quadrant, and why must the lines be at equal angles?

Hi. so is it that when the value is negative for θ then it shouldnt included in the answer?

Thank you so much

Thank you sir! 😁❤

thanks so much

Thank you ...uhhhh finally

Cheers fella

Hi, thank you for this video it really helped! But i was just wondering if we still get the full method marks for the question if we use this method? I would have presumed that some marks would have been for drawing the actual graphs, however I am not sure please can you tell me if we still would get the full method marks using this method.

How would you use the quadrant method with " Sin(x-60) = 0.5" ?

Thank you so much, this topic has been bugging me for a year now, thanks to you I understand it now!

I have just received my GCSE Maths result. An A* - which came as some surprise to me, but none to my teacher. This is thanks to both you and my teacher. Now I want to attempt A Level, but this video worries me - because I`m not 100% sure of its content - ie what it is saying. My question is, do we measure all values of trig ratios in terms of the +ve direction ? My instinct would lead me to measure, for example, -ve sin theta in the -ve direction. Or does it depend upon the range we are given ? ` I trust that in asking the question my confusion is laid bare. Thank you so much for your time and hard work in producing your videos. It was only through accidentally stumbling upon them, randomly, that I became interested in maths. I will `get it,` eventually !

Great video! But I had to put the video to the speed of 1.5 so I can watch it.:)

great technique........... well done, it helped alot. thanks

Its a lot easier to just sketch out the sin/cos/tan graph and drawing a horizontal line through the y-value and reading off the intersection points

V helpful video but could you show the graphical method?

What would you do if there are more than two solutions?

omg what a lifesaver, my teacher cant teach for shit!

Will there be questions where they ask you to use this method to find the values?

Hi. I'm having trouble using the graphical method but it's what I'm being taught in class, will this method allow me to do the same as the graphical method and is there anything one method can do and the other cannot? Thanks

Takes whole day watching this in the normal speed.

If I was given cos(x + pi/3) = root(3)/2 How would I do this using CAST?

So what's the point of these diagrams if we have to use a calculator anyway?

I’m struggling with Trigonometric identities. This is a question I do not understand: given that angle B is reflex and tan B= positive root 21/2, find the exact value of sinB and cosB?

wakapenga mudhara

Thanks for this. On the fifth one (Tanθ=√3), how do you know that it is positive? Do you just assume it to be positive if it doesn't have ± before it?

Anyone doing add maths that ended up here :D

more enthusiasm !!!!!!!

Here's a tip if you are short on time watch on 1.25 speed

too many fucking rules

im still confused, rip me.