Verifying Trigonometric Identities Easily - Strategy Explained (14 Examples)

Рет қаралды 364,310

4 жыл бұрын

Learn how to verify trigonometric identities easily in this video math tutorial by Mario's Math Tutoring. We go through 14 example problems involving reciprocal identities, quotient identities, even and odd identities, pythagorean trig identities, and cofunction identities. I also share tips for how to approach verifying these trig identities.
Related Videos to Help You Succeed!:
Verifying More Trig Identities
• Verify Trig Identities...
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Пікірлер: 332

@jacobsteel130 2 жыл бұрын

What i really appreciate is the fact that you say each step even if it’s kinda repetitive. I have problems with my teacher assuming I know things and skipping steps, making it impossible to learn how to complete these problems. Great video!

@kristina-we7mm 4 жыл бұрын

Just wanted to say thank you for that kind message at the 9 minute mark, I'm in pre-calculus and although I try my best in math- i always need to put the extra work in to be able to score well in the class so I spend extra time watching videos like this to practice & understand better. This was definitely helpful and very clear to understand thank you!

@MariosMathTutoring 4 жыл бұрын

You’re welcome Kristina! Keep up the good work!

@lazyonigiri5665 4 жыл бұрын

@@MariosMathTutoring that massage changed my mood and it definitely helped, tysm

@MariosMathTutoring 4 жыл бұрын

You’re welcome!

@aperson6966 3 жыл бұрын

@@lazyonigiri5665 *message

@kanemurfin8159 2 жыл бұрын

You're not alone, I am in the same boat and I really appreciated both of your remarks.

@jinnycho9270 3 жыл бұрын

Love it when teachers do ACTUAL examples Thank you!!

@nikoflow_fm9541 Жыл бұрын

Right… when my teacher gave us practice problems, they were WAY easier than the ones on the test. So it took me by surprise and I did poorly. I hate when teachers do that :/

@MA-zo3cm 2 жыл бұрын

On my first attempt I couldn't even get one. Then I watched other videos and studied more. On the third or 4th day of trying I attempted it and got 9/14. Today I tried it again and can do all 14. This really is about experience. There's only so many kinds of problems they can show you, eventually they'll be forced to repeat the same kinds of problems. Now when I see a problem I know what to do because I've seen all the tricks. Keep doing this, build experience, and keep an eye out for patterns. I must have sunk over 20 hours into getting this concept as someone with a normal intelligence over about 5 days, so keep that in mind as you struggle! This is hard, it's supposed to take a long time.

@zohaibhassan815 Жыл бұрын

this makes me feel so much better because this concept is so time-consuming and I don't even understand anything right now.

@yahboi_mo 4 жыл бұрын

I’m not even learning this yet but at least I know where to look if I need it. Thanks man

@MariosMathTutoring 4 жыл бұрын

You’re welcome! Glad you like my channel!

@maxamedyuusuf6593 Жыл бұрын

@@MariosMathTutoring please teacher send me your what's upp Number

@andrewhart9913 3 жыл бұрын

It’s always nice when you get trig identities that can be proven by expanding and factoring, or making due with what’s already written, but it gets trickier when you get ones that you have to multiply by external terms through multiplying by 1, such as multiplying one by (1-sinx)/(1-sinx).

@shrekswife3755 3 жыл бұрын

i have a test on proofs in two days and i can’t do them i’m gonna cry 😃 edit: so uh update....i got an F on it 😎

@script_kiddie_1394 3 жыл бұрын

u cute lil bitch

@jaredr9469 3 жыл бұрын

hahah mine is tomorrow. I think i will fail too :D

@noisyguest5249 3 жыл бұрын

@@jaredr9469 bruh same

@bishlasagnaga5626 3 жыл бұрын

We all fail together :')

@swisherodocus314 3 жыл бұрын

I passed so idk why im even here lol

@Mariam.4445 3 жыл бұрын

I've struggled with this topic for months, and now before my exams starts, I can proudly say that I was able to solve all of them correctly!!!, I used to just stop in the middle, not knowing what the next step is, but now i don't just solve, I have different ways than the video that had given the same answer!, thank you, ALOT.

@ishke2994 2 жыл бұрын

How do u do it? Whats the other ways

@Mariam.4445 2 жыл бұрын

@@ishke2994 well it’s been 9 months since I commented, but I guess it’s fine, The way to solve these equation is to simplify it, thought there are a lot of identities as written as written on the right of the board, I think what I meant here was that I used a different one of those, but ended up with the same solution.

@elsalailanisadang6155 2 жыл бұрын

I'm so thankful that you posted a vid about this topic. I was crying lately since I really don't understand, yet I smiled when I suddenly learned this topic all thanks to you. Thank you so much! God bless you sir.

@BoZhaoengineering 2 жыл бұрын

Probably the best precalculus on KZfaq! Thank you for these examples !

@JustinGarfield1 3 жыл бұрын

I really enjoy this although I'm new to this and I have been doing a self study of mathematics for only 2 years. It appears once you memorize the formulas you can understand it easily and internalize it and truly understand it. And it's very true what you have said in the video: We need to look at the answer while we position our calculations on the other side of the equal sign. I had to learn the hard way after a few tries. This sort of reminds me of a Rubik's Cube. Your teaching skills are more clear and organized than most instructors I've listened to. thank you

@sab.a3557 3 жыл бұрын

I'm doing this in A level maths in UK. Hardest topic I've come across so far.

@bro...5849 3 жыл бұрын

What’s A level mean? Is that like honor’s or something? Not in UK so idk lol

@sab.a3557 3 жыл бұрын

@@bro...5849 A-level is what UK students study in college for 2 years (HIGH SCHOOL IN USA) You pick 3 subjects, i.e. Maths, busienss and Law then move onto university 2 years later

@naushadharji8930 3 жыл бұрын

Trigonometric identities are the EASIEST of the topics in mathematics !!!

@sab.a3557 3 жыл бұрын

@@naushadharji8930 maybe for you. Remember we all have strengths and weaknesses in different topics. You may find a topic hard that I find relatively easy. 👍

@beningram-eiser6121 3 жыл бұрын

@@naushadharji8930 bro fuck you this shits hard

@dreivonfunf9489 2 жыл бұрын

First time through this video, I got 2 on my own. Second time through I was able to get 11 out of 14 on my own. (It really helps if you pause the video before he explains it and try it yourself. And watch this video more than once. ) Thank you sir for making this videos!

@letsplaysomegames985 3 жыл бұрын

You are a life saver, this unit is just thinking out side the box and explained it perfectly.

@Full60 2 жыл бұрын

There are a few good channels out there that teach this topic, but yours was the easiest for me to follow, and the most helpful. Thank you.

@cocoa_cake 2 жыл бұрын

i looked through so many videos on this topic but you're the first to have actually helped me with this!! thank you so much

@nathanielabel9874 3 жыл бұрын

why cant my teacher explain concepts well like you. THANK YOU

@gloryhniang6125 3 жыл бұрын

This youtube channel is so helpful. This makes doing math during Covid time much easier. 8:16 God bless you, Mario

@tuckerschutte8165 6 ай бұрын

Very thorough and helpful video!

@MariosMathTutoring 6 ай бұрын

Glad it was helpful!

@alexisflory6496 3 жыл бұрын

Number 7 is on my actual homework and now I actually know how to do it... Probably going to just save this video and hoard it with all the other videos I have for precalc

@kevinburns8473 3 жыл бұрын

Thank you tremendously, with the onset of Covid-19, I feel a lot of professors have gotten lazy. I am only allowed into my math class once a week, on a Monday and ALL of my course work, including the tests, are due online through a third-party program that costs extra money... I appreciate you picking up the slack that my professor has created.

@elirhoades103 2 жыл бұрын

Thank you for the encouragement message for number four. I was just about to quit but you helped me. Thank you. We need more people like you.

@daphneb6905 3 жыл бұрын

i’ve been struggling so much with these! This video helped a lot thank you!

@alexnajera1821 2 жыл бұрын

Thank you so much for this Mr. Mario. I had a test today and I think I aced it because this video really helped me understand the different strategies to solve each problem. My teacher wasn't nearly as good explaining as you. I'm sure to use more of your videos to help me do good in the class. You're a legend! 😁

@user-kz8wy5kt8q 3 ай бұрын

This is some gold man, i really like that youve listed down the identities on the side too

@redcurated4302 Жыл бұрын

Super helpful! Right on the spot of how difficult my HW is, he explains all the "secret sauce" moves my teacher uses.

@themadirish8202 2 жыл бұрын

This was really helpful, thanks for the 14 examples as well.

@brainstew21 3 жыл бұрын

Underrated video

@isabellapearlstein9896 2 жыл бұрын

Thank you for this explanation. My teacher does not explain things well, he just gets annoyed with us and keeps repeating the same thing that is not helpful. He refuses to explain things any other way so it is nice to be able to watch your videos and have the material actually explained. I have a final tomorrow and we haven't learned everything that is on the packet so thank you for explaining the trig topics that we didn't really learn.

@Panzer-jx2nv 2 жыл бұрын

Thank you so much, I was working along with these examples. These can be so dang mind numbing but this video certainly helped me push forward.

@jessemiller1135 2 жыл бұрын

Thank you so much, Mario!! This video was a lifesaver right before my finals.

@marieyamabukhalil6631 3 жыл бұрын

I did my whole assignment right because of this video thanks alot ❤ sending love from Egypt.

@victorpaz5585 3 жыл бұрын

Mario saving my day once again. Thanks so much for the awesome video

@jaineilsart1528 10 ай бұрын

At first this was hard, so I stopped doing this for a looong time. But your perspective changed my mindset mathematically, so mathematically by now, I should be able to do most of these by myself all thanks to u

@randomtori1878 3 жыл бұрын

Great for review! Thank you!

@countdowntv366 3 жыл бұрын

This helped so much!! Thank you!!

@entropy3705 3 жыл бұрын

You're an absolute life-saver!!!

@ryvan3870 7 ай бұрын

Thank you, your explanation helped me. These are actually pretty fun now that I know what to look for.

@MariosMathTutoring 7 ай бұрын

Glad to hear!

@davidjacob623 3 жыл бұрын

Thank you for the great video Sir! It really helped me.

@laylaa259 3 жыл бұрын

I just wanna say THANK YOUUUU, I'm going to an exam in 10 minutes and a classmate sended me this video. Thanks to this video I at least will get an acceptable note, because I didn't understand anything, and now yes. SO THAAAAAAAAAAAAAAAAAAAAANK YOUUUUUUUUUUU, you have my suscribe

@emma-sk3zy 2 жыл бұрын

thank you so much for this video, it helped me a lot and you have taught me more in 30 minutes than in a month in school:)

@chulsoosgrandchild3314 2 жыл бұрын

thank you so much for this thankfully i'm not struggling as much as before in this topic. i even got excited when i answered one question correctly. Thanks to you!!!

@Nellympacheco_ 3 жыл бұрын

Thank you soo much! I understood a lot more quicker and better watching this video

@galineldho2063 3 жыл бұрын

This was a great video that has helped me lots! Practice was great.

@troy2192 2 жыл бұрын

Thank you so much. Saved my sanity with the great teaching! Have an awesome day.

@jameslawrencedelacruz543 2 жыл бұрын

Thank you very much sir! You are helping struggled students like me!

@josiahgoshert5023 3 ай бұрын

Thanks so much for the examples! Extremely helpful!!! Worth it to subscribe!

@MariosMathTutoring 3 ай бұрын

Glad it was helpful!

@joeldoxtator9804 22 күн бұрын

The most useful part here for me was the tip to not factor conjugates for the numerator. That was the whole issue I was having in seeing eliminations that could be made.

@jaimegarcia264 3 жыл бұрын

This has really helped me thank you!!!

@maahirfakhr6512 3 жыл бұрын

Really great !!!!

@yourfriendlyneighborhood8663 2 жыл бұрын

That's a lot of examples. Thank so much sir.

@amirakhoury5507 2 жыл бұрын

This was VERY helpful!!

@ce5531 3 жыл бұрын

Thank you🥺❣ I learned so much🥰

@kennethkare4054 Жыл бұрын

Thank you! this video has been very helpful..👍

@hoffin5729 Жыл бұрын

Thank you man this has been very helpful.

@ymcmb_sushi 2 жыл бұрын

Thank You for teaching me this.

@Dylan-ur1oc Жыл бұрын

got my pre calc quiz tomorrow, I appreciate the review

@skyehenley7828 4 жыл бұрын

So helpful! Thank you so much!

@MariosMathTutoring 4 жыл бұрын

You’re welcome Skye!

@crake9510 2 ай бұрын

thank you so much MARIO. you are the BEST teacher ever

@Gjaiiajna Жыл бұрын

*i am 10 standard 👩🏻student in india* 🇮🇳 *i literally like to study maths subject from your channel* Thank you so much sir 🙂🙂🙂

@sanuratennakoon7979 Жыл бұрын

Thank you for posting this great video

@user-zy7oe1ju5p 2 жыл бұрын

thank you so so so much! this helped me a lot for my assignments

@saritayadav8055 2 жыл бұрын

Very helpful 👌 speechless for such a natural awesome explanation!!

@heatherrockell1683 3 жыл бұрын

You are awesome man, thanks for this :)

@gyzzaortizperalta3962 10 ай бұрын

I genuinely love this guy

@fayth3188 3 жыл бұрын

Thank you so much it was helpful 😊

@magl1609 3 жыл бұрын

This man is a national treasure.

@Elitea20 3 жыл бұрын

I got 0/14 correct, but I learnt how to do them after you did it thanks a lot

@gioseppealcoreza6481 3 жыл бұрын

Thank you :) This really helped me a lot :)

@scottpalmer829 Жыл бұрын

You have some of the best videos of any YT math teacher. I have profited from your videos in several math subjects.

@MariosMathTutoring Жыл бұрын

Great to hear!

@scottpalmer829 Жыл бұрын

I'll try not to comment too much, but your point about experience is crucial. After practicing a great deal, you get a kind of intuition while looking at an identity. For instance, on your fourth example, I saw the 1 - cos and immediately thought "conjugate". I went that way, ran into a road block and then tried a different route and ran into a road block. I then went back to the conjugate and got it. Your comments about verifying identities are spot on.

@ProfIqbalHussain 2 жыл бұрын

Very useful lecture and explained very well. I shared it with my BS Chemistry students.

@arundhatic.2792 Жыл бұрын

So helpful; got an A on test thanks to your videos!

@monke1236 2 жыл бұрын

Thank you!!!

@aanyawh0 2 жыл бұрын

I appreciate your help sir.

@masha0242 3 жыл бұрын

You are saving lives sir

@vadersz 2 жыл бұрын

I have a test today and so far I have aced every test since algebra with your vids thanks

@evangelistajohnfrancis5704 2 жыл бұрын

You are a great teacher Sir. Mario

@ibrahimassabie3295 2 жыл бұрын

Thank you very much

@farishani4626 3 жыл бұрын

Sir you look like Charles Xavier... Thank you sir for your teaching

@yuaninocencio8626 2 жыл бұрын

Love it! Kudos :D

@effiegiannoudakos3286 3 жыл бұрын

hi sir, you may have just saved my whole algebra 2 grade, thanks so much

@abofuraih4973 3 ай бұрын

life saver thx man

@phlegmsmoothie 2 жыл бұрын

I am a 10th student in India, this really helped me and all those problems were directly suited for ICSE.

@AliHassan-hb1bn 2 жыл бұрын

I loved it. MARIO METHODOLOGY

@alphax395 Жыл бұрын

Thanks Sir! Please try to make more verifying videos and complicated as well!

@kagamer21 3 жыл бұрын

Thank you Mario

@aljonaplicador1554 3 жыл бұрын

Very Informative 👍

@nutharagunaweera7819 3 жыл бұрын

Thank you Mario.!

@shannonmarlyse4642 Жыл бұрын

YOU are my FREAKING HERO!!! Thank you, Thank you... 🤩

@ocampostevenjarlp.1779 2 жыл бұрын

thank you!

@ssjsssssssssssssssssssssss6183 2 жыл бұрын

this actual so much helpful wish my teacher can explain more specify

@teddadolphson4237 2 жыл бұрын

I believe people have an identity that is deeper than sexuality. Some are warriors, creators, and healers but without teachers, no one would make it that far. Teachers are the most valuable resource in our world.