Trigonometry CAST Diagrams and Solving Equations 

you explained the purpose of the CAST diagram really well. My teacher didn't even bother with that. Thanks very much!

I haven't done this in over 20 years and my nephew asked me for help with his school work so I had a snoop about the internet. This was the most helpful. I think you would do well to briefly explain why the cast diagram is positive or negative for the trig functions at the beginning. ie why there is more than one solution. But as an explanation of method it was succinct and straightforward. Thank you.

Ah-ah this is sooooo good for revision!!! I feel my confidence back again :D

I got an exam tomorrow and I've been panicking for a while now trying to figure out the CAST diagram and you've just saved me! This video is so helpful thank you!

Damn.. you've helped me alot! Looking forward to more content :D

Your lesson really helped me during my trig crisis...thank you so much😁😁 you're so smart😁

I haven't understood this all year then I watched your video and I now understand perfectly. Thank you SO much

Thank you so very much for doing all of this explanation, you made my life in mathematics easier with CAST diagrams💯

Thanks so much I was struggling so much with this but suddenly everything made sense even just a few minutes into the video!

This was the most helpful.

thanks so much for this video. I am a missionary helping children in high school and i have done this in such a long time. It really helped to explain and make it clear really quickly. God bless you

A very big thankyou to starfish maths 😊

Thanks alot.... Now I really understand trig.. equations......I guess My teacher didn't me everything I really needed to know

OMG thankyou so much❤️ I finally understand this now

wow this is really helpful its also great for further maths in engineering too! cheers

This is the most helpful trig video I have found on tri equations and ASTC. Thank you so much.

Finally I understand this after two years.Thanks.

Hey Sarah, u really helped my younger brother out with his college course ( he has a chronic disease). Much appreciated

Thank you so much...........I can't explain how much you helped me through these videos. My confidence came back after watching these lessons. Such a great revision.Thank you again. God bless you.

thank you so much!! it is currently the night before my pre mock and this helped so much!!

it's 2020 and your video has really helped me. Thank you

love your videos ♡♡ honestly I really find your videos helpful. my previous maths teacher moved schools and I have been struggling as I found it hard to adapt to my new teacher. Your teaching style is versatile and helps me and my classmates alot. I do hope you'll be able to post more math videos! It helps us alot through AS and hopefully A2. Unfortunately we're all students and dont have the capacity to contribute to your patron page 😭 However, we do contribute by views and likes! Hope that helps you out

So much better than my teachers

its good to be taught by someone beautiful, it makes maths amazing, THANK YOU very helpful

You explained this much better than my text book, thank you.

What a great video, thanks very much. I'm going to set it as a HW for my year 13 class to watch for revision. However they are going to spot your deliberate mistake in the last two questions (I hope), since you were solving for tan(2x + 30), not just tan x, and sin (3x + 10), not just sin x.

Wow thank you so much you are the only person who has made me understand this!

Thank you for literally saving my exams

For the 3rd example at the end of the video, isn’t that wrong? As the angle is 2x+30 wouldn’t you sub 360 as x to find the range of values to be found. Then you keep on adding 180 until you get to 750, then you solve.

Omg this is such a underrated channel, this actually explains things well

Thank you very much you saved my day, l had previously skipped the topic in my maths class as textbook examples were confusing.

You are absolutely amazing! I finally understand this topic. Thank you so so much!

You are the best. PERIOD‼️

absolute legend - thanks

Thank you really good video. I am just a bit confused with the last two questions. I think you are supposed to change the range to get more solutions. I have 4 solutions and 6 solutions for the last two questions.

Thank you this video has clarified my misunderstandings on trig

For tan(2x+30)=1.2, are there not supposed to be 4 values? The others being 190.1 and 280.1 And for sin(3x-10)=-0.8, I think you are missing 201.03, 225.6, 321.01 and 345.03 Please clarify whether this is the case as I am sort of confused. Thanks.

Love your lectures

AMAZING... well-explained nd i like how u add extra tips nd background info!

You're the best

I really enjoyed your lesson. Thanks 🥰

THANKS A LOT FOR YOUR HELP, I totally understood everything and it helped me out so much. Thanks again!

Imagine getting a heart from starfish Maths plz

Thank you so much! This video helped me out quite efficiently with my a-level homework!

Wow ! Thank you so much, I was struggling but this has really helped me understand

Thank you so much for your teachings

Thanks a lot for your online math lessons they really help us understand some topics very well please continue launching more lessons online.

You are a force to be reckoned with

Thank you for your videos, very helpful.

You have enlightened me thank you so much 😊

Thank u soOoOOo muchHhhh !!!!! It totally helped me out 😭❤️

me watching this walking to school when i have a test first lesson

@12 mins u say there is no point doing sin Q ? can it be done though so as in you only get the positive solutions on first CAST diagram but no sol on other one ? thanks

Thank you so much. This was so helpful. I'm going to share with others. I'll find the patreon link, too.

I've always struggled with the cast rule, but now i understand it. Thankssss

Thanks, the ones that are harder than this are so tricky

Thank you so much for the help 💖💖💖

Thank you for the wonderful explanation!

This really helped out. Thank you so much!!

i finally understnd thank u sm

Goodness me, I actually cried lol, this is amazing 👏

Finally, this starts to make sense. Cheers gorgeous

i LOVE YOU❤❤❤ THANK YOU SO MUCH MAAM❤❤❤❤❤❤❤❤❤❤❤❤❤

there are no negative questions and im stuck on one

I will pass my exam on this thank you

Just failed my exam for the 3rd time but it helped

You just saved my coronavirus maths mock

Ugh, why ignore the negative in -0.2? Just do inverse sine of -0.2, get -11.5. It's a solution! Then work out whether it's in your desired range.

You saved my igcse

Just didn't understand the thing with negative range -180 < x < 180

Amazing video, thank you so much!!!

Thank you so much ma'am

Thank you so much 🎉

Very well explained

This helped so much ,thank you❤️

Sarah thank you so much for this video. It has helped a lot and again thank you. Now i know i am going to nail it on my test lol

it's a ten outta ten!

11:10 why only A even C will be positive right!!??

I come back to this video every time I have an exam

Thank youuuu!!!!

very well explained Thank you

Thanks for the valuable informations

Thank you

For the last question you did on sin (3x-10) why didn’t you use S and A to find outputs

Could you do a video explaining kinematics please?

thank you

I have a question at 15:08, the range was till 720 degrees, and you added 360 to both your answers, i wanted to ask that is there a specific reason why we added 360 to them, and also if the range is 1080 degrees (3 cycles) so will we add 720 to both our answers in that case?

Amazing!

thank you for the video! absolutely smashed it! how would you work out tan ^2(squared)x=3

I like the explanation

Thanks

can you please make a video about sequences and series.

I don't understand the last question because the trig ratio is sin, which is positive in both the acute and sin quadrant, yet you used cos. Could you please explain? Thank you

will it always be an acute angle?

Thank you so much.

Thanks great video ✌️

thank you, you are the best!!!

so helpful thank you 😘😘

THANK YOU LOADS

thank you so much!