Good god this material makes me want to blow my brains against the wall. For whatever reason, mathematics is just completely indigestible to me. Trig makes a little more sense, but I find myself watching these videos and thinking to myself "If I were working this problem, I would have never thought to do that on my own." It's like I would never know where to go next. I have absolutely NO problem at all with difficult sciences, and love organic chemistry with a passion, but this stuff is just so frustrating.

@CynnickelEnt

8 жыл бұрын

amen

@patrickjmt

7 жыл бұрын

it is like most things on earth: you probably would have figured it with time had you tried. this is the whole point of passing down knowledge, someone with more experience can try and help point out a few things here and there to speed up the learning process. i have spent 20 years doing this stuff, this is not the first time i have ever encountered this material and is reflected as such in the videos.

@bayandamkhize5933

4 жыл бұрын

Cornbreadddd, I can highly relate to that!

@poop2126

3 жыл бұрын

@@patrickjmt our school system goes by the average time our teacher took to complete and adds 10 mins. So usually we get around 40-50 mins at most!

"If I saw a problem like this, just out of no where. The first thing I'd think is... "Holy sh*t""

My graduation speech, "I'd like to thank patrickJMT for being a better math teacher than all 4 years of bullshit I've endured"

@indomie6384

7 жыл бұрын

lmaooo

@Logan-fe6hp

2 жыл бұрын

please tell me you did this

Damn I'm about to take a L on this test

@cruzgomes5660

3 жыл бұрын

You and me both

@ZariyaJ

3 жыл бұрын

@@cruzgomes5660 I passed the class with a high C I was so pissed

@erazn9077

3 жыл бұрын

@@ZariyaJ oh n o ! lol we’re studying this right now and i haven’t memorized the identities at all...uhh wish me luck hahah

woooow i didn't understood anything

@d1salebrentarchies.550

3 жыл бұрын

Huhu

Thank you. I've memorized this and have never really been taught how to use it.

Thank you. I was panicking before my math final, but luckily I found this video. Very helpful

I swear the best source of learning math better than textbooks, teachers, and everything. U always make my life easier god bless u

You always motivate me with your simplestrategies

God bless you man. You have such a gift.

You explained it very well and yet it is still very hard to grasp.

you know your good at math when you can do it with a permanent marker

Simple and strightforward to understand thank you!!!

Really needed this. Thanks a bunch!

So where did these identities come from? Do we just accept them?

@jayvee3324

9 жыл бұрын

there are videos that show their derivations. look them up, its neat.

@hmz01_

7 жыл бұрын

yeah theyr accepted identities which u can use for proofs and such

@PotatoMC1

6 жыл бұрын

Yes.

I love this guy - he makes math fun!!

All of these videos are so helpful, maybe I won't fail my final anymore!

I love how he makes it sound like he's thinking it up as he goes along... haha you rock patrick

thanks for the kind words :)

Such a great video

Test tomorrow thanks for the help!

I was with you until you let y=2x. I paused the video and solved it to see if we would get the same solution and we did. But you did it a completely different way. All I did was solve using inverse trig and got 90 degrees. And I know from the unit circle that 90 degrees is equal to pi/2. Then I knew that pi/2 is equivalent to 3pi/2 using the graph of cosine for the given interval.

what do you do if you need to know what quadrant the final answer will be in?

This helped a lot! Thanks :D

You are absolutely brilliant

I think I love you. :') Thank you for helping me pass my class!!:'D thank math jesus for you!!

Thanks man. I got confused on what to do with anything higher than double angles, and the first example helped me out tons.

how do you solve 2cos(x/3) - square root of 3=0

When I factorise trig, I find it really easy to sub in cos and sin as a variable such as a or b. then its easy to solve the quadratic and at the end when you have your two answers, you can just sub back in cos or sin instead of a or b.

@Kevin-rj5zp

4 жыл бұрын

I was hoping this man would go into equations with coefficients because I find them hard, but he just did the basic stuff. Do you know how to do them?

@fabiandmello2937

4 жыл бұрын

Kevin Isaacs yea I do, your main goal is to form a quadratic looking thing with the same trig ratios, ie. sin cos or tan. This way you can sub in coefficients. Also if you factorise and the equation equals 0 then u can find what 0 is work for both.

@Kevin-rj5zp

4 жыл бұрын

Fabian D'Mello Haha yeah I just figured it out and you confirmed it. Thanks 🙏

im your biggest fan patrick!! go patty!

How do you solve 8(sin^2)X = 5 - 10cosX ?

Thank God you existed in this world THANK YOU VERY MUCH

Thanks that really helped

Anyone else have a final tomorrow? :P

Can you perhaps show me how to solve this : cos2x*sin2x=0 (for interval 0

My professor didn't teach it quite well. Thank you SOO MUCHHH for this video.

A real math god

god bless mathematicians like you

How'd you do?

How can I wire 1-2 sin^2 (3x) as a singe sine, cosine or tangent???

patrick, why didn't you use the double angle identity on the 3cos(2x) ??

you're my hero

i do not understand

Dear PatrickJMT, Please come teach at my college! I'll take you for Calc 1, 2, and 3 AND differential equations! (I'm about to finish Trig and it's HARD!)

is it not supposed to be -5 and +2...? if I add -5 and 1 that does not make a -3

Thanks bro 😘 Your explanation was excellent👌

@patrickjmt

3 жыл бұрын

Welcome 😊

Is there any way I could contact you ? I'm in huge need of help in this section and I have a test tomorrow ! Please ?

@SphericZebra3

7 жыл бұрын

How did your test go?

These contrived problems will likely never see the light of day in real world applications but the underlying concept of simplifying trigonometry with identities is applicable to many science and math based careers. In careers that involve construction, such as engineering and architecture, knowing how to manipulate identities helps you to figure out real world measurements when you only know certain pieces of information.

Wow, that was hard! But I think I followed it through the whole video :)

Patric JMT: You have a gift and you are doing your part to make the world better. How do I donate $1 per month?

patrickJMT I am having issues with this problem: cosx - 1/sin^2(x). Would sin^2(x) be equivolent to writing sin2x?

@Freshming1996

9 жыл бұрын

jmartecep Sin^2x can be written as Sin(x+x) ... Sin^2x cannot be equivalent to sin2x

@jmartecep

9 жыл бұрын

Lim Deming Thanks a million :)

@InvalidDiv

8 жыл бұрын

+Lim Deming ummm bro wouldnt sin^2x equal to sinx.sinx

2:50 using change of variable is better. I mean we make t=cos2x and then the solve quadratic equation of t and then we find the value of x.

Will you teach my precalculus honors class, por favor?

Could you verify this for me idk what to do if theres a 2- Cotx cosx sinx = 2- tanx cosx cscx

my brain is turning to mush

There is an error in the video sum and Difference. Cosx is positive in the 4th quadrant

@PatrickJMT PLEASE HELP ME. I need help with this question. 4sin(8x)cos(8x) Use the double angle formula and leave your answer as a trig function. For example: cos(20 degrees) I got 2sin(16x) as like one answer but it said it was wrong but idk what to do next.

@Kaleabe25

4 жыл бұрын

8sin(2x)(1-sin^2(2x)

are you some kind of math god

My brudda🤝🤝🤝

I wish you could sit for my exams on my part T_T

I understood everything up to the point where you made y=2x. why did you do that? :/ i'm confused

Why didn't you write it out after you simplified it? I don't get the part that you didn't write out can any one help with that?

No one has taught me 5:11- onward. EVER. It took a while to get used to it, but I think I'm gonna like it a lot more than my teachers way of explaining it. P

You're like my savior and I don't even know what you look like :))

Very astute, however you're missing the method in this video. When you expand your factoring using FOIL, you'll see that 2cos(2x) * 1 = 2xos(2x) and then -5 * cos(2x) = -5cos(2x) which leaves you with these terms in the middle: 2cos(2x) - 5cos(2x) which definitely equates to -3cos(2x), as we want.

@Toronto2245 : )

why did you turn 2x into y=2x??

@zenesisblade9635

10 жыл бұрын

It's not necessary but some people might accidentally do something with the 2 before anything happened so he was just adding an extra step to eliminate any minor mistakes.... I think at least

Then how do you solve 4sin^2(A) cos^2 ()A = sin^2 (A)?

@hicrayert

10 жыл бұрын

you dont solve that. its a proof.

I dont even understand what is going on at 2:35

good video very helpful : ]

math can chock, my midterm exam is in a few hours and I'm giving up already

@hmz01_

7 жыл бұрын

i hear ya, but keep on goinn!

how did he get pie and three pie

@AlexK9465

5 жыл бұрын

From the unit circle.

how about like this? 1/2+ 3/4 how?

@melchizedekell7951

7 жыл бұрын

you should find their common denominator .. 1/2 + 3/4 = 1/2 multiplied by 2 so that it's denominator becomes 4 and then it becomes 2/4 + 3/4

@minoljayalath6539

5 жыл бұрын

@@melchizedekell7951 I think she was joking..

@melchizedekell7951

5 жыл бұрын

@@minoljayalath6539 haha after 2 long years

@minoljayalath6539

5 жыл бұрын

@@melchizedekell7951 too long

Nice...

good video but make the audio louder!!

Writing left-handed blocks the view until you're finished and makes it hard to follow what you're talking about as you write. Not sure how to remedy but it could help even more people

@patrickjmt

4 жыл бұрын

maybe in the next life when i make videos, i will be born right handed

Don't understand anything after 4:21 :/

@olitheballer

7 жыл бұрын

Nope, I got totally fked over by this section during the finals. I don't even remember anything anymore at this point. Got a C- in the course :/. Trig is just not my thing.

gawd no.

Wow...This is so long...Daaaamn...

@ritchie376

8 жыл бұрын

thats what she said...

"PatrickJMT is truly a God" - everyone who's been able to do better in math because of this channel Including me

have you made any money off monetizing your account? I'm thinking of making my own versions of trig tutorials. I really like the way you make this stuff seem much less intimidating, now when I look at functions and identities I see something more a long the lines or 2 + 3 and not something that was in the movie "A Beautiful Mind" ;)... keep saving the planet one kid at a time sir

Yea it does but not this part of trig.

After all this explanation i still finds it difficult to solve double angles

Yes this video was posted six years ago but i have to say it. You factored wrong. it should be 2 not 1.

Sin @= 1/2

thank you for saving my ass!

YOU'RE A WIZARD, AREN'T YOU?

i love u

walahi in this math is very difficult

why don't you use Theta instead of x as a variable it would be much easier to follow

@user-cb8ho1yj8x

7 жыл бұрын

you should be more flexible on math,

@christophersenior2942

7 жыл бұрын

I agree, being more flexible to other pathways of solving mathematical equations, might help you solve them.

You're asking how trigonometry is relevant in the real world? You realize trigonometry is the basis for construction, engineering and navigation, right? Here's an article in case you need Patrick here to explain it to you: libguides.unitec.ac.nz/content.php?pid=227568&sid=2398295

put that into the calculator and didn't get 4

Really easy ,but when someone shows me

:/ huh!

I don't think this was factored correctly. The two in from of the first terms distributes to the last term. It should be -5 and 2 for the factors that add up to negative 3 and multiply to get -10.

@johnmolokach_staff-southga3529

2 жыл бұрын

FOIL the factors and you will see he did it right. The "outer terms" multiply to make the 2 and the "inner terms" multiply to make the -5.

In God

unhelpful high school teacher: always use pencil in math! me: bitch please, patrickJMT uses sharpie

@josiahsills511

6 жыл бұрын

systemsteven I know you wrote this 6 years ago, but it was so unfunny I thought I’d avert your attention to how unfunny it really was, also he uses sharpie on his white board, not paper

Pretty sure the first example was wrong

Bruh what?

So low voice