Trig Identities

This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities.
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Trigonometry Formula Sheet: bit.ly/47diggI
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Trigonometry - Basic Introduction: • Trigonometry
Introduction to Angles: • Introduction to Angles
Radians and Degrees: • Radians and Degrees
What Exactly Is a Radian? • Trigonometry - What Ex...
Coterminal Angles: • Coterminal Angles In R...
Decimal Degrees to DMS: • Decimal Degrees to DMS...
Arc Length of a Circle and Sector Area: • Arc Length of a Circle...
Linear Speed and Angular Velocity: • Linear Speed and Angul...
Clock to Angle Problems: • Clock Aptitude Reasoni...
The Unit Circle: • The Unit Circle, Basic...
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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...
Trig Functions - Periodic Properties: • How To Evaluate Trigon...
Trigonometry For Beginners: • Trigonometry For Begin...
The Exact Value of Trig Functions: • How To Find The Exact ...
Special Right Triangles - 30 60 90: • Special Right Triangle...
Special Right Triangles - 45 45 90: • Special Right Triangle...
Cofunction Identities: • Cofunction Identities ...
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Angle of Elevation Problems: • Angle of Elevation and...
Evaluating Trig Functions Given a Point: • Evaluating Trigonometr...
Exact Value of 5 Remaining Trig Functions: • How To Find The Exact ...
Evaluate Trig Functions - Reference Angles: • How To Use Reference A...
How To Graph Trig Functions: • Graphing Trigonometric...
How To Graph Sine and Cosine: • How To Graph Trigonome...
Evaluating Inverse Trig Functions: • Evaluating Inverse Tri...
Finding The Missing Side of a Triangle: • How To Calculate The M...
Finding The Missing Angle of a Triangle: • How To Calculate The M...
Two Triangle Trigonometry Problems: • How To Solve Two Trian...
Bearings Vs Direction - Word Problems: • Bearings vs Direction ...
Two Triangle Problems - More Examples: • Trigonometry - How To ...
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Verifying Trig Identities: • Verifying Trigonometri...
Trigonometry Final Exam Review: • Trigonometry Final Exa...

[@TheOrganicChemistryTutor]

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@@tufasteel2329 I swear it’s making me lose hope I can only do math if I get the logic but what’s the logic here…

[@libertybee1307]

@@Askechad same my other classmates do it so fast and I’m here trying

[@whyhayden]

Memorize this bc I’m in college and having to come back to review this because I forgot most of them

[@MrDiceZack]

@@whyhaydenDo not ever memorize, it's better to understand

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[@lilybreaths]

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[@wege8409]

Donkey A and Donkey B are walking toward each other on a dirt road. Donkey A starts from the barn, 15 miles away from the meeting point, at 1:00 PM. Donkey B starts from the orchard, 10 miles away from the meeting point, at the same time, 1:00 PM. Donkey A walks at a speed of 3 miles per hour, while Donkey B walks at a speed of 2 miles per hour. At what time will Donkey A and Donkey B collide?

[@lilybreaths]

@@wege8409 To determine the time when Donkey A and Donkey B collide, we can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Combined Speed}}
\]
### Step 1: Calculate the combined speed
- Donkey A's speed: 3 miles per hour
- Donkey B's speed: 2 miles per hour
- Combined speed: \( 3 \text{ miles per hour} + 2 \text{ miles per hour} = 5 \text{ miles per hour} \)
### Step 2: Calculate the total distance between them
- Donkey A starts 15 miles away from the meeting point.
- Donkey B starts 10 miles away from the meeting point.
- Total distance: \( 15 \text{ miles} + 10 \text{ miles} = 25 \text{ miles} \)
### Step 3: Calculate the time it takes for them to collide
\[
\text{Time} = \frac{25 \text{ miles}}{5 \text{ miles per hour}} = 5 \text{ hours}
\]
### Step 4: Determine the collision time
Since they both start at 1:00 PM, they will collide 5 hours later:
\[
1:00 \text{ PM} + 5 \text{ hours} = 6:00 \text{ PM}
\]
So, Donkey A and Donkey B will collide at **6:00 PM**.

[@lilybreaths]

@@wege8409 Let's break this down step by step:
1. Donkey A starts 15 miles away from the meeting point and walks at 3 miles per hour. To find the time it takes for Donkey A to reach the meeting point, divide the distance by the speed:
15 miles / 3 miles per hour = 5 hours
1. Donkey B starts 10 miles away from the meeting point and walks at 2 miles per hour. To find the time it takes for Donkey B to reach the meeting point, divide the distance by the speed:
10 miles / 2 miles per hour = 5 hours
1. Since both donkeys start at the same time (1:00 PM) and take the same amount of time to reach the meeting point (5 hours), they will collide at:
1:00 PM + 5 hours = 6:00 PM
So, Donkey A and Donkey B will collide at 6:00 PM.

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[@Eeppydeepy]

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I have a trig exam on this exact content tomorrow, big praise.

[@TheOrganicChemistryTutor]

This video can help you with your Trig final exam:
ua-cam.com/video/OAsbx4TEnL0/v-deo.html

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the timing of this video is actually perfect. I have a test tomorrow and I need to know my trig identities,

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why do you not explain where are these coming from 11:40

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I was here

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[@badoibaboi5457]

how do u know when to apply a trig identity? is it necessary to apply an identity everytime u see one, or are there times where leaving the trig expression just as it is is better than applying an identity?

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If I don’t pass trig this semester…my dad’s gonna shit in my mouth

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your voice never changed.

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Broo. This is so complicated, I am basically lost at this point.

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Thank you!

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[@dakamary9506]

Though my test was on Monday, your previous video for trig identities helped, I'll make sure to watch this one too

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Everything was understandable till 8:00

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Please avoid using the purple marker. It's extremely difficult to see. Maybe use yellow??❤

[@GeraldBosley-cf8ng]

I can handle any mathematics up to calc 3, but I still get these trig identities wrong. I have got to figure out a system to really commit these to memory because I should not be having this problem.

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lovely explainations. Thank you so much.

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Thanks a lot for this lesson 😊

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no

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[@memom0]

exam tom…I haven’t studied…first exam…no sleep :)

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exam tomorrow and i aint studied once im so done

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nice video,well explained

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Thanks!

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Mind blowing!!!

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I need a 99% to get an A in precalc am I cooked?

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nah this final got me cooked 😭

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i have an ib math external in 1 month and I find the subject hard i need help

[@SruthiLijil]

I studied all this with great interest while studying in college. But now after 13 years it was very difficult to recollect. So when I go for an interview for the position of a mathematic teacher to answer the trigonometric functions was a difficult task. But this video helped me to remember all the trigonometric functions. It is really helpful for me. Thank you so much.

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Are we cooked chat?

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I need to remember all 30 formulars for my test. like, how am I going to do this.

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This man finna boost my sat score by about 100

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You covered just about everything here, nice. Got my final for pre-calc tomorrow

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You are a legend

[@jonathan7320]

First

[@noobynoob6856]

Tangent

[@ejay1836]

Broo is there any better way of finding the identities? I Don't want to memorize these all

[@TheImaginativeSachin]

Whats the difference between identity and formula 🤔

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im cooked

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'THE EVERYTHING's TUTOR'

[@GitaPrihatini-h8v]

thank you for explaining this chapter in a very systematic way, it really helps!

[@YUMANOAH]

sin45=cos45=1/root2 not root2/2 , anyways gr8 video

[@Idealess.]

1/root2=root2/2, root2/2 is rationalized

[@mrblue2052]

thank you

[@ngjunliang7273]

sadly still don't understand in common trigonometric identities , that 15++ fomula

[@ShadowBlqze]

11:48

[@MycahelaRiaMacion]

3:55

[@es8co8rt2004]

You have to live this to have this locked in your memory…😢

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I have 2 math finals tmr and an English paper I am having suicidal thoughts🥰

[@ayoolamarvyini1507]

If this video was beneficial to you and you didn't like it, you should be dealt with

[@akshajande0519]

The link to the practice problems doesn't seem to work 😢

[@I_HopeThatNoOneHasThisName]

Tomorrow is my exam..

[@SamsHamlet]

Please go over picards methods

[@Mai-ml7lb]

This is where I meet my downfall. It was a good run everyone, gg.

[@milixhin_]

Hahahaha this is me before watching the video!!

[@superspike769]

why dont u just write cos-1 instead of those goofy symbols

[@nabilal_shatri8349]

😢😢Im not understanding trig , i really need a video to introduction to trig till where we are

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thank you very much sir
I’m in Uganda but before I saw your tutorials I was lost coz math was cooking me up
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bruh im so cooked in my pre calc II class 💀

[@lavabhai]

14:07 u can use formula of (a+b)(a-b) =a² - b²

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This is how ik I'm screwed