The Unit Circle, Basic Introduction, Trigonometry

This trigonometry video tutorial provides a basic introduction into the unit circle. It explains how to evaluate trigonometric functions such as sine and cosine using the circle regardless if the angle is in radians or degrees. You can find the exact value of a trigonometric function if you have access to the unit circle.
Trigonometry - Basic Introduction:
• Trigonometry
The Unit Circle:
• The Unit Circle, Basic...
How To Remember The Unit Circle Fast:
• How To Remember The Un...
Reference Angles:
• How To Find The Refere...
The Six Trigonometric Functions:
• The Six Trigonometric ...
How To Solve Right Triangles:
• Trigonometry - How To ...
_____________________________
Reciprocal Identities:
• Reciprocal Identities ...
Quotient Identities:
• Quotient Identities - ...
Even and Odd Trigonometric Identities:
• Even and Odd Trigonome...
Pythagorean Identities:
• Pythagorean Identities...
The Pythagorean Theorem:
• Pythagorean Theorem - ...
Trig Functions - Periodic Properties:
• How To Evaluate Trigon...
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The Exact Value of Trig Functions:
• How To Find The Exact ...
Special Right Triangles - 30 60 90:
• Special Right Triangle...
Special Patterns - Pythagorean Theorem:
• Special Patterns of th...
Cofunction Identities:
• Cofunction Identities ...
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Trigonometry Formula Sheet:
bit.ly/47diggI

[@TheOrganicChemistryTutor]

Trigonometry Formula Sheet: bit.ly/47diggI
Next Video: th-cam.com/video/E-xFXpVo14o/w-d-xo.html
Trigonometry - Basic Introduction: th-cam.com/video/g8VCHoSk5_o/w-d-xo.html
How To Graph Trig Functions: th-cam.com/video/fQPOBOFb2sY/w-d-xo.html
Evaluating Inverse Trig Functions: th-cam.com/video/so9Tjk6Ga2U/w-d-xo.html
Verifying Trigonometric Functions: th-cam.com/video/NE6zcJSZhX0/w-d-xo.html
Trigonometry Final Exam Review: th-cam.com/video/OAsbx4TEnL0/w-d-xo.html

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[@KyleShoemaker-sj9oh]

Great video! Don't let the first part stress you out, skip ahead to 1:43 and watch that part then go back and try to do the first example.

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...and just like that, i learned more in 12 minutes than 4 days going over this in class.

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[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for a powerful explanation/introduction of the Unit Circle and its impact on Trigonometry.

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First video that made it click in my head after hours of studying. Thank you!

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[@BloodyMaryy13]

Question, is the unit circle not much about solving but rather memorizing?

[@ellaconsole8491]

yea its mainly just memorizing but the angles go in increments of 30 and 45 degrees so just remember the basic angles like 180, 270, 90, and 360/0 and then just go from there!

[@isaackim6662]

I wish you were my math teacher
thank you for your time

[@lonely-lo1153]

So we know, for example, root3/2 and 1/2 is the coordinate at 30° using a 30, 60, 90 triangle. In that right triangle, however, the hypotenuse is 2 while the radius in our unit circle is 1. Can you help me understand? Is it just by proportion that our coordinates make sense? What am I missing?

[@johnkarvinbuaquena3535]

Umm how about if it's not like "just those numbers" like Sin(75) or anything that is not coterminal on 30 , 45 and 60.
Im just curious 😅

[@ihavenoidea00-c4u]

Finally i understood this . Thank you very much

[@gleon1602]

Personally, I just use the 45 45 90 and 30 60 90 triangles to find the answers. It's a lot easier for me to do it that way.

[@floralarts157]

How

[@gleon1602]

@@floralarts157 It's a bit hard to explain in text, it's easier to draw it out

[@genevaxo]

Saved my math.

[@Tanrdsgener]

9:58 Why does sine use the y value? How are any of these things decided? Please help.

[@Tanrdsgener]

@I thanks

[@mariadelmarcaparos2324]

Remember the base its still sin from x axis and the y axis is cosine ,but if u use on the number just switch for example the sin is on the first rownbecause always first is sin because its x ,but if u choose them (1/2, 2/3) sin here is in the second row which is 2/3 then the cosine which is Y axis u choose 1/2 which in reality that is for X value just switch the choice of number but in base axis they are still sin is x axis and the y is cosine axis .hope this can help

[@mariadelmarcaparos2324]

Sin x axis always the second option of coordinates
(y -value)
Cosine y axis always at first option number (x-value)

[@fxeditors]

Freakin epic man this will help me a lot in 11th

[@MrGoatfighter]

kinda wish you would have explained the whole pi thing cause this is not an introduction. I have no idea how to apply this information.

[@sydneysands4950]

THANK YOU.

[@dilag]

It's so much better to learn this way than to blindly memorize the values.

[@alexasoto8653]

Thanks so much

[@SteveDuyag-bs2td]

Can i ask what trigonometric identity is used in this video? Thanks in advance

[@iWatchYoutube2601]

Thank you. S tier content.

[@mechboy5954]

Good video

[@thiruselvamm8716]

Hypotenuse Angle of 90degree in 45 degree array is √2

[@TheOfficialKingIdea]

Anyone else here in 8th grade preparing for high school level learning trigonometry?

[@triple_gem_shining]

trig is years in the future for you bub. no one cares how old you are.

[@mariadelmarcaparos2324]

thanks sir

[@unaware123]

Watching this with 10 minutes till the exam wish me luck

[@toomanytimes-b8l]

how did it go?

[@lollyholy6369]

God bless.

[@pianobypriya]

how did you know that x and y of 45 ° is root 2/2

[@triple_gem_shining]

special right triangle laws. watch his vid on 45/45/90 triangle.

[@fishgirlie]

Mamatay nako sa precal guys

[@divinea3092]

Can someone explain why he looks for the y value for the Sines bit looks for the X value for Cos questions.

[@icecream_sandwich]

the x-coordinate of B is the cosine of the angle, and the y-coordinate of B is the sine of the angle.

[@AAslayer]

hey chem tutor instead of memorizing is there another way to this if yes then please do let me know cuz its hard to memorize this by heart and if there was some fool proof way of doing this w/o memorizing i really would like to know

[@juanpicasso7943]

I know this was a month ago but he gave you the way to not memorize. You just need the first quadrant.

[@natiadonay2104]

you have saved 111k students from failing exam

[@lukef2024]

What if it asks for the tan of an angle

[@kazezeze]

If sin is the X-value and cos is the y-value, then what is tan?

[@hoeman23]

Sin is the Y value. Cos is the X value. Tan is the y/x, or sin/cos

[@mariadelmarcaparos2324]

But there base as axis is still sin and cosine x is sin ,y is cosine but there base in number is opposite like switch​@@hoeman23

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[@WhiteRepublicN]

My teacher said, try to figure out out some patterns and left it at that 😅😂

[@memesareessential6111]

Bruh how to know if the value to be used is the x value or the y value

[@Shovel313S]

cosine= X value
sin = Y value

[@Sometimes2242]

I love you

[@getsmart3701]

This makes absolutely no sense...this can't be a basic introduction.

[@sunset6958]

Watch intro to trig vid

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w video

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Yup 🤧

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bob

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[@ImperialAssassi4U]

When I put these into my calculator they come up as decimals, but I feel like I wouldn't be able to memorise each value of squar root 3/2 etc. Is there another way I can try get my calculator to give me values?