Trigonometric Identities

[@vinaysinghram]

i am not exactly a maths student but a doctor came here just for an amateur interest in trigonometry, thoroughly enjoyed your class, you are a great teacher 👍

[@ManochaAcademy]

Glad you enjoyed it!

[@jeshwanthmunjala7403]

Bro super

[@naveenreddy5352]

Aduka

[@shilpaaulwar616]

Same here😅😅

[@allahabadi6941]

Same here...

[@AalapBhatt007]

The hw answer is 2
the correct way to do so is to take 2 out, so you will be left with
Sin^2 25* + Sin^2 65*,
=2[Sin^2 25* + Sin^2 (90-25)*]
=2(Sin^2 25* + Cos^2 25*) Since, Sin^2 + Cos^2=1
=2(1)
=2

[@7eguegueh499]

Thank you so much! You showed steps too! You helped me check my answer.

[@harinirao.6733]

The homework question solution is 1/√2
How,
2sin^25+2sin^65
Taking common 2sin^
Then,
2sin^[25+65]
=2sin^=90
Sin^=90/2
Sin45=1/√2
Hence proved.

[@AalapBhatt007]

we cannot add angles, the correct way to do so is to take 2 out, so you will be left with Sin^2 25* + Sin^2 65*,
=2[Sin^2 25* + Sin^2 (90-25)*]
=2(Sin^2 25* + Cos^2 25*) Since, Sin^2 + Cos^2=1
=2(1)
=2

[@verses4202]

I m watching in 2024 bre I am ultra legend😂😂😂😂😂

[@akinbodekareem]

😅

[@ITZ_YOUR_PRIME123]

same boi but tom is my final 2nd sem math exam💀💀💀💀☠☠☠☠☠☠☠☠

[@navinbu]

Mere jee advanced exam hai day after tomorrow😢😢

[@navinbu]

Wo bhi 6th STD meh

[@akrambaloch9756]

I am ultra lagend promax who is watching in 2024 on feb month😂😂

[@sarveshaswin5672]

I felt very sad because I didn't know anything from trigonometry, but your video helped me very well thank you

[@iamvariable01]

Thank you sir for making it crystal clear to us.
Mujai kabhi yay trigonometry samj nhi aati thee but aapke 2 videos dekh kar now i can solve trigonometric questions.
Today i realized that no subject is boring its the teacher who makes boring. Our teachers made it boring

[@gowtham2528]

Sir, the answer is 2 because 2sin^2 25+2[sin^2(90-25)] =2(sin^2 25+cos^2 25)=2x1=2

[@pinklady7184]

Hi from Ireland. I am watching this video just to refresh my memory of formulas that I have half forgotten. Thank you for making the video. Worthwhile watching.

[@sangaytee8746]

Sir , i am such a blunt student having complete anathema in solving from Bhutan but your video is encouraging me not to drop maths sir...grateful for your teaching....sir...

[@sunandap4848]

Trigonometry is a great chapter to learn. It's an interesting topic, and the formulas(half angle,compound angle) might seem a bit hard and confusing. But trigonometry is something which is so important to learn and practice.It is really helpful, even in higher standards.Math is fun and also easy.
Easy peasy lemon squeezy🙂

[@7eguegueh499]

Wow. You are helping us students. And I am very happy to find your channel.
And as for the homework question, I got stuck and my answer got incorrect because I should have written down the identities.
Sin(90-theta)=cos(theta)
Cos(90-theta)=sin(theta)
Tan(90-theta)=1/tan(theta)
To anyone who is still doing the homework problem, take Mr. Manocha's advice for writing identities down.
From a comment on this video, one person said they used the identity
sin^2+cos^2=1 to help solve the problem.
To students watching the video, I know there's a lot of people getting the right answers. But if you're not, keep going. There's multiple students here trying to get better at math.

[@theartofmusic05]

Sir u explain better than my teacher in school continue that even I am not English and I can understand what ur saying...

[@ManochaAcademy]

Thanks for liking

[@venkanna.p898]

Good

[@ashwininir9535]

2sin^2 25+2sin^2 65
2(sin^2 25+sin^2 65)
2(sin^2 25 +cos^2 25)
sin^2 C +cos^2 C=1
2*(1)
=2

[@aryanrawatxc4885]

Nice:!!

[@sidra884]

Oh thanks I was looking for it. I tried it too but didn't get the right answer.Now I can figure out where I was doing wrong.

[@99sundays7]

Hope to see your *1 million family* soon

[@silasclems9939]

Very nice video, anybody who needs maths help from me should indicate too, it's nice to help

[@rameshboddula3537]

2:00

[@SUJITHPAYANDATH]

Iam graduated in civil Engineering ..Watching your videos for refreshing my knowledge..

[@ManochaAcademy]

Glad to hear that

[@shashankkumar7693]

According to your diagram considering the triangle is right angled at B,
Or,sin(B+(90°-A)/2)
Or,sin{(180°-A)/2}=cos[{90°-(180-A/2)}]=sin{(180-A)/2}=cos(A/2)

[@vikingcuber3183]

Really helped Sir
Perfect for revision before an exam
Made my concepts even clearer
Thanks a lot Sir 😊

[@ManochaAcademy]

Most welcome

[@dingdong41105]

Sir u are great
U are teaching all the subjects in a great manner and every student will understand ur class 🙏🙏🙏

[@ManochaAcademy]

Keep watching

[@smitarahangdale5962]

Your teaching is dam awesome sir❤❤

[@ManochaAcademy]

Thanks a ton

[@dakshpopley8654]

@@ManochaAcademy Is the Answer 2???

[@Progamer95900]

Is there any legends who seeing this on 2023 just like me😂😂😅😅😅

[@preethiparthasarathy367]

Me 😂

[@Ram45._OFFICAL]

✋

[@fragkings984]

Me

[@RobertDkhar]

Me😂😂😂

[@srikanthchintu1327]

Me A legend

[@singampallisuryaprakasarao6237]

Sir you are teaching very well sir can you tell Inequation chapter 🙏🙏

[@sohamkhamari657]

Awesome video... Easy to learning and understanding.. Very nice video sir
Thanks sir.... 🤗🤗🤗

[@ManochaAcademy]

Always welcome

[@kavithasalla8961]

It is very understandable lesson.

[@ojasjain8372]

Thank you Sir for the easy explanation, now I understand trigonometry

[@s.g.danush8879]

I enjoyed your class and love it so much

[@amazingmathematics8921]

Your teaching style is awesome sir😘😘

[@ManochaAcademy]

Thanks a ton

[@d.saijeeth9680]

2(Sin² 25+ cos²25) =2(1)= 2

[@jakkapallypradeepgoud2146]

Thank you

[@BalaBala-pm2os]

Circles and area related to circles

[@nandulal6315]

Nice teaching Sir.....excellent explaining

[@ManochaAcademy]

Thanks and welcome

[@sushmitham8700]

U r explaination is very excellent sir....... Thank you so much sir....

[@mvlakshmi2116]

I was not really aware of trigonometry...I just came into 8th IIT and the first chapter is this one..At times when my brother studied this one he said that it is so hard to learn..I thought it is easy because it is easy if I understand..When this chapter entered it is not easy to understand!! practice..practice..😔It was now soo easy..That is because of you...Thank you so much sir..😊🤗

[@matharasiviyagan989]

which school😊

[@rudzanimukosi9908]

2024,anyone?

[@megnamohan2565]

meeh

[@iamvariable01]

Yup

[@aaravjain2222]

mhm

[@panugantivijay5531]

Legends only open his videos before exam 😁😅😅

[@harimashots]

2sin>65+2sin>25.
=2cos>25+2cos>65
=4(2cos>90)
=4(0)
=0

[@sivanandreddy3839]

Sir u r teaching exllent sir and it very use full

[@VikaskumarSingh-hf5iq]

You are great teacher of math subject for trigonometry ❤❤❤❤❤❤❤

[@sushantkumartripathy4550]

Sir your teaching method is excellent

[@ManochaAcademy]

Thanks

[@1leonnnnn]

Sir Your way of teaching is out of the box

[@ManochaAcademy]

Thanks

[@collationfacttamil5154]

Sir you are teaching supperly,i understood all

[@Sneha-b2k]

Yayyy😂😂😂 sir cute❤ 49:50

[@saiffprogaming367]

Tan^2a

[@Rachel-tm4gq]

Thank you so much !! it helped me a lot sir ....

[@ManochaAcademy]

Glad to hear that

[@muralicherukuru5457]

I like ur teaching sir
Ur amazing in telling
I understand urs teaching easily
Tq ......sooo...much.....sir....

[@ManochaAcademy]

You're most welcome

[@chaitanyalaxmiaravelli9582]

Now I am able to understand these trigonometric identities very clearly..
Thank you so much for explaining in the most easiest way..sir

[@Mikhail-tal-the-GOAT]

49:49

[@Commenti5]

1:48. Started the video ♥️❤

[@meowmeow-xj6ci]

Watching this the night before exam 💀😭

[@veenaramesh2577]

This is really understandable

[@ManochaAcademy]

Great !

[@thirumal.thirumaladiveryni7192]

SIR..we don't have the enough time to do sloving trigonometry functions in polycet exams so any shotcut to identify the ans. plz tell ans. without solving the questions it helps us to identify fast in polycet examination. plz reply my ques.sir.

[@kanvapatelamchi]

I like you are saying FRIENDS ......
thank you so much sirr

[@ManochaAcademy]

Always welcome

[@bandaruapparao5940]

Super vedio sir really LEARNING SCIENCE AND MATHS IS EASY AND FUN okay sir I'll coperate with you and let's learn every day from every day life

[@-SRINIVAS.K]

THE ANSWER IS 2..........
Attractive and stunning video for school students Sir ..........😀😀😁😁👏

[@chaitrachaitra1674]

Sir plzz make sure that u choose more complicated questions

[@annapurnapll8128]

Thank You Sir

[@ManochaAcademy]

Most welcome

[@ayushbiswal9439]

Sir the way you teach is very simple

[@ManochaAcademy]

Thanks and welcome

[@sahanabalikai9668]

Sir how we find out that this sin or cos in sums

[@prasoon7916]

HW answer is 2 the lecture was also very nice🤗🤗🤗😃

[@sidra884]

How?,I tried it a lot but didn't get .

[@prasoon7916]

@@sidra884 Find the value of 2 sin²25° + 2 sin²65°.
Answer : 2 sin²25° = 2 cos² 65
→ 2 cos²65 + 2 sin²65
→ 2 ( cos²@ + sin²@ )
→ 2*1 = 2

[@preetamtalent3825]

Tq sir. So easy way u had explained ..👌👌☺️

[@ManochaAcademy]

Welcome 👍

[@neibusemy9416]

What is the fundamental ratios of trigonometry

[@ധ്രുവ്മുരളീകൃഷ്ണൻ]

Many doubts cleared thankyou so much to Mancha Academy. Let Manocha Academy be a very famous RUclips channel.

[@ManochaAcademy]

Thank you so much 🙂

[@khaidigamers6617]

2 sin^2 25 + 2 sin^2 65 = 2

[@sukanyasukanya7909]

Hi sir I can understand easily the way you teach lessons

[@swati6084]

Your teaching is awesome sir🙏❤️

[@ManochaAcademy]

Thanks a ton

[@AwadoKoriomAwadoAwayic]

I appreciate monocha Academy for its service delivery

[@sulthannani1202]

You are explaining very clearly

[@ManochaAcademy]

Thanks

[@sulthannani1202]

How are you explaining all physics chemistry and also mathematics that's so great sir
I excited for your teaching style

[@awmgod6985]

Well great...............!

[@himabindu279]

Wow super explanation sir
Tq very much
Really great teacher

[@ashmithaashmitha4743]

Ur teaching is too good sir and easy to understand. Thank you so much sir

[@ManochaAcademy]

You're most welcome

[@ugudegrey392]

I love your tutorial sir you always make things easy for me more love

[@ManochaAcademy]

Thanks for liking

[@mystic6970]

Sir your teaching is perfect 👌
You should have 1 million subscribers

[@ManochaAcademy]

Thank you so much 😀

[@mystic6970]

@@ManochaAcademy no problem
I love your videos and live lessons

[@mystic6970]

Thank you very much sir
This lesson really helped me
Also sir just to ask could you make a live lesson on maths for simultaneous equations

[@melamsudha3059]

Ur explanation is owsem sir

[@srinivasreddyvallapureddy866]

Super sir awesome Ur teaching

[@yourdevimam7872]

Sir i like your videos more because you say very clearly in this videos thank you sir😊😊😊😊

[@vikashgupta8788]

You are the best teacher

[@ManochaAcademy]

Thanks

[@bongcuber1692]

You are the great sir

[@ManochaAcademy]

Thanks

[@manojkumar-ob8dp]

Excellent teaching sir 💐💐👌👌

[@ManochaAcademy]

Thanks and welcome

[@arunakallon7958]

Sir please make a video on circle theorem. U are so perfect

[@kamatchisiva1719]

Thank you so much sir. Your the only one who teaches in English. And the way you explain is extraordinary.

[@ManochaAcademy]

Most welcome

[@melamsudha3059]

Amazing sir ur teaching 👌👌

[@ManochaAcademy]

Thanks and welcome

[@shashankkrshashank7280]

excellent sir

[@ManochaAcademy]

Many many thanks

[@vikashgupta8788]

Tq so much sir

[@ManochaAcademy]

Welcome

[@harimashots]

For other terms why did you change sir tan1,tan2,tan3............tan89 in centre and we put tan 60 also sir

[@gamig1208]

Sir your teaching is so clear I love it

[@ManochaAcademy]

Thanks and welcome

[@hrushishashi1203]

Thanks for the teaching

[@ManochaAcademy]

My pleasure

[@SleepyIndoorPlant-fn2od]

Real legend is me watching it in August 2024

[@matirrai]

Bruhh me too 💀

[@aanmipuradathilhil2741]

Sir your teaching has helped me a lot in exams. Thank you so much sir

[@ManochaAcademy]

Glad to hear that

[@savitrisemwal2545]

Hi

[@ashkrsimna]

Sir answer of the homework question is 2.

[@levenhomasuud6552]

Thanks my dear teacher I am Intersting learn math as possible .

[@shashankkumar7693]

Let angle 37° be theta,
Or,53°=(90°-theta)=37°
Or,cos(90°-theta)/sin(theta)=sin(theta)/sin(theta)=1

[@frankwarren9061]

To gravitate more
Mainly-demonstrates on the board
Would have access to a clearer picture. However you are fantastic.

[@sravanipasupuleti8639]

Ans is 2. Change( sin^2) AS cos^2

[@tejaravi723]

Way of teaching goooooooood

[@middleclasskitchen1280]

Answer 2

[@kaushalchettri7913]

Thank u sir for coming forward and teaching us salute sir

[@ManochaAcademy]

It's my pleasure

[@network4560]

Your teaching style is very nice

[@ManochaAcademy]

Thanks a lot

[@joymx9227]

Find the value of 2 sin²25° + 2 sin²65°.
Answer : 2 sin²25° = 2 cos² 65
→ 2 cos²65 + 2 sin²65
→ 2 ( cos²@ + sin²@ )
→ 2*1 = 2

[@prasoon7916]

thanks

[@joymx9227]

@@prasoon7916 You're Welcome

[@sareescollection4rfashion540]

Thank

[@sourabhpatil1023]

How did that sin2 changed to cos2??

[@DeepakDeepak-co1fx]

Sir do area related to circles lesson