How to Simplify Trigonometric Expressions Using Trig Identities

This trigonometry or precalculus lesson is showing you how to simplify trig expressions using trigonometric identities. In solving this math problems in trigonometry, it is important that you have the trig identities or formula so you can modify some of the trig functions into terms that you can simplify. Your skills in factoring some polynomials is also needed in working on this math problems.
1:59 (sec x)(cos x)
2:48 (cot x)(sin x)
3:30 sin^2 x + cos^2 x
5:10 1 + tan^2 x
6:04 tan x / sec x
6:44 (tan^2 x)(csc^2 x)
7:42 sec x - sin x • tan x
9:47 sec^2 x - 1 / sec^2 x
11:05 (cos x)(1 + sec x)(1 - cosx)
Trig Cheat Sheet: vikingsseason5i.com/wp-conten...

[@andrewshenouda132]

Thank you so much I have a test tomorrow and without this I couldn’t possibly pass. Wish me luck

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[@michaelbaca5008]

Did you pass?

[@annekaskoog7842]

You explained this so well. I really appreciate it!!

[@honeyzjamillegarcia8443]

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[@jeremycelis7489]

THAAANKS!! Very useful para sa upcoming DLSU Entrance Exam ko :)

[@iZAPMath]

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[@numberbender]

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[@lilrascal7455]

Thanks for explaining this. A great video and feel more confident in simplifying trig expressions.

[@numberbender]

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[@tobymoras24]

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[@numberbender]

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[@nuramiraizzatibintisaim185]

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[@numberbender]

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[@heinzdoofenshmirtz3783]

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[@numberbender]

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[@delacruzerikaleila7672]

Thank you so much for this informative and helpful video. More power Sir!

[@numberbender]

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[@tystrickland150]

THANKS A BUNCH! This topic has been tricky but this really helped me get a handle on it. Thank you!

[@numberbender]

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[@erniepunzalan3855]

mula grade 10 hanggang ngayong gr12 ikaw parin dabest tutorial sa math

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[@numberbender]

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[@Rachel-tq5vq]

Thank you so much! This is going to help me get through my trig test tomorrow.

[@numberbender]

good luck sa test mo sa trig. kayang kaya mo yan!

[@Rachel-tq5vq]

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[@LanceVW]

So how’d it go

[@LouisFernando09]

Thanks! This helped a lot

[@numberbender]

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Thank you very helpful for my final exam tommorow

[@christalineconcepcion2163]

Life saver💕
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[@numberbender]

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[@amatullah4819]

wow this was so informative, really helped a lot

[@numberbender]

Glad it was helpful!

[@andreibenedictmanalad9218]

salamat po! may quiz ako bukas dito xD

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[@numberbender]

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Hoping this ends up true, just started the video, fingers crossed

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[@numberbender]

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[@garretttabor3007]

Thanks a lot, this was an extremely helpful practice.

[@numberbender]

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[@ralphwv]

Thank you sir, liked and subscribed.

[@numberbender]

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[@rockhunsaker9916]

Your explanations are very good, thank you.

[@numberbender]

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[@isabela166]

This was easy to understand thanks♡

[@numberbender]

You're welcome 😊

[@rickhomerhatton9818]

thank you

[@reale_gxrx9082]

This lesson is actually not included in our lesson book but our teacher include this in our quiz. I was so mad rlly that's why I'm really thankful for this video 😌

[@lesleyliu6637]

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[@Foxtrotaspirants]

No hard problem solved by you so but it's helpful .so , there is a salute to you for your try by me

[@numberbender]

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Thank you

[@claralobsiger4284]

Thank you so much! This helped me understand this lesson in a couple minutes when my teacher couldn’t do it in a week 😞

[@numberbender]

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[@YaCzarnaPantera]

THANK YOU!!!!

[@numberbender]

You're welcome!

[@beccarejuso9063]

Thank you po sir

[@hanjuyacurta8332]

Thanks for this video i struggle a lot in simplying the Analytical trigonometry

[@numberbender]

analytic trig is really challenging and once you get it... it's actually fulfilling. thanks for watching

[@Rainsong777]

Thank you... God bless you

[@numberbender]

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Thank you engr

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[@halaao2828]

LIFESAVER

[@mathewraguindin9675]

Hello sir 😁
is this under Levi ben Gershon discovery?

[@AliHassan-hb1bn]

I loved it

[@numberbender]

thanks

[@williamroth7775]

Thank you for the excellent explanation. How would you simplify 2 COS X + 7 TAN X

[@numberbender]

thanks. I am happy to help. But I think your function is already on its simplest form.

[@useraccount6671]

i noticed something in this part, go back to prob. no. 8 the last part which is multiplying sin^2 x/cos^2 x * cos^2 x/1 shouldn't it be 1/cos^2 x instead of cos^2 x/1???? so if you multiplying those, we will get tan^2 x sec^2 x???

[@godlike8281]

Thanks for the tip 1 sub here. This will help me with my module

[@numberbender]

Glad to hear it!

[@mirandorenerj.428]

How do we simplify (sinB - cscB)² ?

[@interlude776]

Thx

[@mostafasoltani6202]

amazing

[@numberbender]

Thanks

[@fs6421]

you are not doing the bigger problem.but still useful

[@pagmanproductions1686]

where is that paper from at the start. can you post it?

[@numberbender]

just download it here: vikingsseason5i.com/wp-content/uploads/2018/06/trig-identities-cheat-sheet-023b77e9ff383e43f1dadf5413b5faf8.jpg

[@mariamikalavado4270]

Thank you po, dami ko pong natutunan. May mga example pa po ba kayo gamit po yung iba pa pong trigo. identities😊💖

[@numberbender]

marami akong examples on trig identities. just search it sa channel ko. salamat sa panonood

[@conorlange634]

My nigga out here saving lives

[@TyroneJoshTang-o]

pano ba malalaman kung ano identities ang gagamitin mo

[@sciencelife3259]

Nice

[@numberbender]

thanks!

[@sciencelife3259]

Super fast youngsters, your scientific form work only save the world

[@numberbender]

thank you so much. I really appreciate it. I hope you can share my work to more students and teachers.

[@kirstenmilliron3715]

How come you modified -cos^2 theta +1 and turned it into 1 - cos^2 theta ? I have not learned that rule yet. What is the rule called so I can look it up?

[@numberbender]

it's just basic algebra manipulation. I rearranged the expression from -cos+1 to 1-cos... similar to -2+5 into 5-2

[@lovelyfatimalabial6334]

pwede po bang manghingi ng soft copy ng formula of identities,sir? thank you

[@albertoarlando3008]

is there a cheat sheet of trigonometric identities on the internet?

[@numberbender]

yes. just google it

[@seventeentwice087]

Naol wako kasabot HHAHAHAHAH

[@carmelleclemenspedronio2208]

Sa Pythagorean identities no need to memorize the 6 other formulas derive from the main 3 Pythagorean identities instead.

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I love you

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You look very good =))

[@numberbender]

well, thank you! I appreciate the compliment :d

[@randomrandom5316]

Sir pagka-college, may lesson pa din ba kami na ganito?

[@numberbender]

kahit sa gradschool... meron pa din nyan

[@mk_mh_22ksh66]

Hi professor i would like to know where to get practice Quizes i want to practice , salamat po

[@numberbender]

at this time, hindi ako nagpopost ng worksheet eh.

[@diegofrancisargie7108]

meron po ba simplifying sa kalagitnaan ng derivatives

[@numberbender]

yes, para mas mapadali ang pagkuha ng mga susunod na steps, maganda na simplify din yung mga steps in between

[@miketristanl.cortes1124]

STEM PA HAHHAHAHAHA