Evaluate the six trig functions by when given one value and constraint

👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the x-axis is drawn such that the reference angle is at the origin. The x-coordinate of the given point represents the adjacent of the reference angle while the y-coordinate represent the opposite of the reference angle. The hypothenuse is the line joining from the origin to the terminal side of the 'opposite' line.
Using the Pythagoras theorem, we can obtain any of the unknown sides of the right triangle. Having the opposite, the adjacent and the hypothenuse of the reference angle of the right triangle, we can then evaluate the other trigonometric functions accordingly within the given constraint.
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Organized Videos:
✅ Evaluate the Trigonometric Functions With Triangles
• Evaluate the Trigonome...
✅ Evaluate Trig Functions Using Special Right Triangles
• Evaluate Trig Function...
✅ Evaluate the Six Trig Functions Given Right Triangle
• Evaluate the Six Trig ...
✅ Evaluate the Six Trig Functions Given Equations
• Evaluate the Six Trig ...
✅ Evaluate Trig Functions from a point | Learn About
• Evaluate Trig Function...
✅ Evaluate the six Trig Functions given a point
• Evaluate the Six Trig ...
✅ Determine the Quadrant Given Constraints
• Determine the Quadrant...
✅ Evaluate the trigonometric function with constraint
• Evaluate the trigonome...
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[@kitchensink9516]

Seven years later and his video's are still getting at least somebody through Pre-Calc. Thank you.

[@jrobinson7242]

They're getting me through pre-calc, too

[@josec980]

Same

[@omonaija2689]

Literally

[@lizbeths.l.7770]

💯

[@joshuayoo1306]

Same

[@Joesolo13]

Very helpful, but I had to say, that was a very effective "stop talking" face at 0:36

[@brianmclogan]

+Joesolo13 haha had to go back and watch

[@PoubelleKansas]

Also scored big with the "Too much talking" remark at the end.

[@NGC-cz1nr]

best video ever, literally saved my score and helped me to understand something that's taken me retaking the class twice in order to understand.

[@jaimiedeguzman9236]

my teacher describes it in such a confusing way, I didn’t know it was that simple to understand thank you sm

[@ahmadsoughar4918]

hahah! i was so confused and freaked out when he said Ahmad... i thought he was talking to me! haha Ahmad stop talking and focus, you letting me down hahah

[@brianmclogan]

haha that would freak me out first

[@stavrosmallios9718]

Amad got ROAStED

[@brianmclogan]

haha

[@AzeleaAsh]

Thank you! You explained better than my teacher lol

[@thatskapKelly]

Why was there a 5 placed? I get the triangle is a perfect square but... what does that have to do with the 5?

[@cutieboo233]

My favorite teacher! You are so helpful! 谢谢 ^0^

[@wingedfeline5379]

This made it way easier to understand for me! Thanks

[@PiNkBuBbLeGuM263]

If you didn't post these videos, I'd fail my college class. Thank you!

[@austins.219]

For real tho

[@sevej.1318]

you're the man, awesome teacher

[@zeebloxyt7728]

where u get that gadamn 5 .....3:02

[@leticiasegoviano317]

Thank you soooooo MUCH! you saved my homework today!

[@ElusionYT]

Hi! My question is why how did you find 5 ? or how is it 5?

[@stoppls1709]

Pythagoras theorem

[@yah.itszzie]

it equals to 25 then √25 is equal to 5.

[@Matthew-dh7ci]

1:26 justin got that "pay attention" callout

[@galacticdivinity]

Shouldn't cot be 3/-4--not -3/4?

[@dantea6]

Awesome Video! Wish my teacher was as good.

[@nathan_kul3152]

Thankyou so much I am liking every video now on

[@brianmclogan]

you are very welcome!

[@alexcross3286]

great explanation! very helpful

[@brianmclogan]

Happy to be able to help

[@JawadAbrahim_]

That was awesome 👍

[@layals]

how can you tell in which quadrant sine is less than 0? confused about the constraints :(

[@brianmclogan]

sine represents the y value on the unit circle so y is negative below the x-axis so 3rd and 4th quadrants

[@cutieboo233]

just draw a pic then you will see

[@tamerabarnett5690]

Would this method work the same for cos 21/29 with the same constraints?

[@moonlightjungkook8102]

Cool, but like why 5, I’m not getting how you got that?

[@thatskapKelly]

saME

[@PBailey11]

@@thatskapKelly so what he did was did put the pathag theory which was 3^2+(-4)^2=c^2 then after doing that out you get 25. After that you square 25 to get 5

[@thatskapKelly]

@@PBailey11 thank you so much!😭💙

[@fun3721]

if x is -4 then we cannot have triangle in the 4th quadrant. It should be either in 2nd or 3rd quadrant

[@babarmurtaza7765]

What's going to be the reference angle for -9/2pi?

[@innesadams1500]

i love you honestly

[@PurpleHairFlower]

Thank you very much

[@brianmclogan]

Very welcome!!

[@creativedashrath]

Sir but what velu of thita

[@PubStarFlash]

I watched all of your videos and I still cannot determine which quadrant to put the triangle in. Please help !

[@brianmclogan]

Depends on your angle or constraint. Do you have a specific problem you cannot figure out?

[@PubStarFlash]

yes, I have tried every way you have explained but it does not make sense to me.
For example i have two problems.
SEC thehta=-5, TAN tetha >0
TAN thetha=7/24, SEC tetha

[@PubStarFlash]

can you please help, i hope you got my question?

[@Goldenj360]

T Sal I don’t think he got your question bro

[@g.l7219]

@@PubStarFlash F

[@mk0925dolcemusica]

The hypotenuse must be a positive number? I am confused...

[@FernandoGarcia-bs4vp]

Distance is always positive

[@PBailey11]

how did you get 5

[@kokujin3349]

what if there are no constraints?

[@marcomad27]

Thanks so much :D

[@lilasarchive102]

Ty!!!

[@colinspencer5654]

I know this video is quite old, but what if it is not a perfect square?

[@colinspencer5654]

*trianfle

[@madisonwakley9002]

@@colinspencer5654 You can use the pythagorean theorem to solve for the missing side.

[@paigetelles]

Wow they didn't bother to teach us this method in class

[@masmcg]

I don't understand how you are coming up with sin(theta)

[@brianmclogan]

sine is negative in either the 3rd or 4th quadrant, here is a video that may help better explain ua-cam.com/video/U96qqKGTmOU/v-deo.html

[@stavrosmallios9718]

Justin is probably cool

[@brianmclogan]

he is cool

[@justnick5046]

That 21 bothers me

[@aaronsorkin177]

Who's here in 2021?

[@Lanoixsette]

im in alg 2 why they putting me thru this bruh 😭😭😭😭

[@soda_the_clown]

I dont understand 😭🙏

[@kongking9520]

Still confused lol

[@jim_bo_brown9198]

Stud