Solving Trigonometric Equation, Harder Example - Example 1

[@DoctorHadez]

thank you so much 7 years later and this still helps me

[@ryankbr]

loved this explanation! it was so much better than my professor's lecture, thanks so much!

[@newtocamelot]

Oh my god, i love you! My teacher was trying to explain this to me today but your way of expaining is so much easy to understand

[@saf5284]

Oh my gosh thank you for explaining this so clearly! Wish I could have you as my lecturer! (instead of my current one who criticises and shouts at us ugh)

[@EsspressoStresso]

most people don't know how to explain this really well, but you did. Thanks! :)

[@mushipoo]

THANK YOU THANK YOU THANK YOU! the only video that addressed my issue!

[@hugooscarbanchieri4019]

Thank you so much for this explanation. It was so clear! Could you help me with this one: Sin(5x)/sin(3x)=sin(4x)/sin(8x)? Thank you very much!

[@l3aIIin23]

THIS HELPED A LOT, THANK YOU

[@htoor5918]

if your looking for the general solution cant you just do pi/3 + 2pi(k), where k equals all real integers

[@iRvinCKF115]

is there any way to work out the number of solutions in a general case? like the number of solutions for A.sin(B.x+C)+D=0 where A,B,C,D are random constants within the range of [-10,10]. This is for developing a computer aided assessment for my university final year project. Thanks in advance!

[@sonju12]

How did you get 5pi/3 after the pi/3? I don't get how you get it?

[@asimupreti9396]

For the same problem can there be two different solutions ? Plz respond !!!

[@jacobbchapman5644]

What class did you learn this in?

[@josephbilderback4549]

Thank you for this video!

[@victoriagainey3842]

In the first problem, why do you add 2pi if there if a restriction?

[@mustafayasmeen]

+Victoria Gainey The restriction wouldn't apply there. The only time a restriction would apply is if the inverse cosine/sine/tangent is what the problem starts with, but because we are in the middle of solving an equation the restriction wouldn't apply. It's kinda funky, but that's just how it is! Hope I helped!

[@TwhiTEdits]

THANK YOU GOOD SIR

[@BlondeRedheadislove]

Your videos have helped me so much over the years. I think this is my first comment on them, but it's so hard to hear you in this video. :(

[@tzghw7]

my teacher tried to teach us this in 2 days but i still dont get it. She said something about finding the period in order to know how many solutions we have to find, but I dont understand how. Then she solved this problem: tan(3x)=1 and I thought you had to draw the triangle in QI and QIII so Tangent would be positive, but she only did it w/QI, y? Please help me

[@Noor_alyaqin]

fantastic video

[@tajbibishamim8085]

Why have you not done same with -1/2 solution?

[@kentrader2489]

I think keeping the solutions + 2(pi)(n) is more accurate because it accounts for the infinite cycles

[@EntertainYourselfTV]

wouldnt 5pi/3 be for negative have cuz its on the left side of the unit circl and on the left side cos is negative... im confused... plz someone explain this to me

[@moohapple12]

+EntertainYourselfTV no because 5pi/3 is how many rotations you make around on the unit circle. first pi, then another 2pi/3.

[@Harsh-sm5rz]

EntertainYourselfTV It's a late reply but anyways 5pi/3 is basically 300 degrees and is on the right side of the unit circle. 4th quadrant to be more specific. and in the 4th quadrant cos is always positive!😊

[@KarmenSandyEGO]

wish you were my teacher -__-

[@gloria3751]

Your awesome! thanks a bunch!! ^.^

[@preciousgirasol9654]

such a great help!

[@DanielAlvarez-fn9tw]

OMG Thank you sooo much

[@vlogzzbytasfiyah]

I'm still so confused omg I'm going to fail my finals

[@sonju12]

Also How did you get 4pi/3?

[@lolitafaith3299]

2pi - 2pi/3 will get you 4pi/3, and 2pi - pi/3 = 5pi/3

[@conch3900]

unit circle

[@whitefang97]

Why was everything multiplied by 1/2 at the end?

[@MarsTheProgrammer]

He's solving for theta. 2(theta) = pi/3 is the same thing as solving for x. (2x = pi/3).

[@jordankerr1]

or +2pi(k) to account for infinite solutions

[@donsuarez]

Hero

[@TheMonsterMichael]

Couldn't you just use a half angle identity?

[@ClumpypooCP]

TheMonsterMichael ya u could fam

[@ashanedesilva5746]

thanks!

[@TCrunningman]

YES...that is all

[@triciadobson5733]

Why did he multiply by 1/2?

[@akhilareddy8670]

Tricia Dobson As we need solutions for theta... We multiplied by 1/2 on both the sides

[@akhilareddy8670]

If we don't we get solutions for 2 theta.. But we need the solutions for theta

[@teriwright7322]

it’s like you are solving for x but you have 2x on one side , so you have to divide both sides by 2 but Patrick prefers multiplying by 1/2 instead of dividing by 2

[@ganebhaiyt7303]

Bruh these were simole but i am 10th class and they given one material of trigonometric and all its application for 1 1 sum u see the way u will get hard headache 😭

[@saadonhamadi1839]

good information I want make investigation kehkeh good2

[@aidanmathews2912]

so WHY did I do that...? lol

[@ganebhaiyt7303]

By the way 171k views and 800 likes 😣 bruh!!!

[@tijelhassan4479]

i dont get how you got pi/3 and 5pi/3 for cos(y)=1/2 , someone please explain

[@conch3900]

Them views... damn

[@Eduard000F]

i wish i was asian