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

[@sarveshaswin5672]

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

[@gowtham2528]

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

[@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

[@smitarahangdale5962]

Your teaching is dam awesome sir❤❤

[@ManochaAcademy]

Thanks a ton

[@dakshpopley8654]

@@ManochaAcademy Is the Answer 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😂😂

[@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.

[@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

[@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.

[@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...

[@99sundays7]

Hope to see your *1 million family* soon

[@singampallisuryaprakasarao6237]

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

[@BalaBala-pm2os]

Circles and area related to circles

[@silasclems9939]

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

[@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🙂

[@amazingmathematics8921]

Your teaching style is awesome sir😘😘

[@ManochaAcademy]

Thanks a ton

[@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

[@vikingcuber3183]

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

[@ManochaAcademy]

Most welcome

[@Sneha-b2k]

Yayyy😂😂😂 sir cute❤ 49:50

[@sohamkhamari657]

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

[@ManochaAcademy]

Always welcome

[@VikaskumarSingh-hf5iq]

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

[@SUJITHPAYANDATH]

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

[@ManochaAcademy]

Glad to hear that

[@s.g.danush8879]

I enjoyed your class and love it so much

[@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.

[@sushmitham8700]

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

[@ojasjain8372]

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

[@nandulal6315]

Nice teaching Sir.....excellent explaining

[@ManochaAcademy]

Thanks and welcome

[@kavithasalla8961]

It is very understandable lesson.

[@collationfacttamil5154]

Sir you are teaching supperly,i understood all

[@sivanandreddy3839]

Sir u r teaching exllent sir and it very use full

[@yourdevimam7872]

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

[@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)

[@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

[@sushantkumartripathy4550]

Sir your teaching method is excellent

[@ManochaAcademy]

Thanks

[@sahanabalikai9668]

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

[@-SRINIVAS.K]

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

[@chaitanyalaxmiaravelli9582]

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

[@1leonnnnn]

Sir Your way of teaching is out of the box

[@ManochaAcademy]

Thanks

[@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

[@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

[@reekbhowmick8906]

You are best guiding teacher I have ever seen

[@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.

[@kalyaniyedla906]

Your videos and expaination are superb sir

[@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

[@himabindu279]

Wow super explanation sir
Tq very much
Really great teacher

[@preetamtalent3825]

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

[@ManochaAcademy]

Welcome 👍

[@manojkumar-ob8dp]

Excellent teaching sir 💐💐👌👌

[@ManochaAcademy]

Thanks and welcome

[@muralicherukuru5457]

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

[@ManochaAcademy]

You're most welcome

[@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😊

[@melamsudha3059]

Amazing sir ur teaching 👌👌

[@ManochaAcademy]

Thanks and welcome

[@sukanyasukanya7909]

Hi sir I can understand easily the way you teach lessons

[@swati6084]

Your teaching is awesome sir🙏❤️

[@ManochaAcademy]

Thanks a ton

[@Rachel-tm4gq]

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

[@ManochaAcademy]

Glad to hear that

[@AwadoKoriomAwadoAwayic]

I appreciate monocha Academy for its service delivery

[@panugantivijay5531]

Legends only open his videos before exam 😁😅😅

[@Roadtovictory09]

Awsome explanation............ ☺️☺️☺️☺️

[@ManochaAcademy]

Thanks a lot 😊

[@Roadtovictory09]

@@ManochaAcademy 😀

[@aniani80]

Hmm

[@veenaramesh2577]

This is really understandable

[@ManochaAcademy]

Great !

[@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

[@srinivasreddyvallapureddy866]

Super sir awesome Ur teaching

[@chaitrachaitra1674]

Sir plzz make sure that u choose more complicated questions

[@ധ്രുവ്മുരളീകൃഷ്ണൻ]

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

[@ManochaAcademy]

Thank you so much 🙂

[@kanvapatelamchi]

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

[@ManochaAcademy]

Always welcome

[@anandramaiah7705]

Sir to prove the second identity why we should take only cos square but not sin square? Sir can you please upload video based on more complicated sums of trigonometry.

[@melamsudha3059]

Ur explanation is owsem sir

[@ayushbiswal9439]

Sir the way you teach is very simple

[@ManochaAcademy]

Thanks and welcome

[@bongcuber1692]

You are the great sir

[@ManochaAcademy]

Thanks

[@d.saijeeth9680]

2(Sin² 25+ cos²25) =2(1)= 2

[@jakkapallypradeepgoud2146]

Thank you

[@sakshisabu2197]

Sir You the gr8est!!❤️✨🌸

[@ManochaAcademy]

Thank you so much 😀

[@tanaypandit7262]

I am from Mongolia. Loved this video. Keep it up

[@soulgamingzone5438]

Sir=family=♥️... great explanation sir👏🙏

[@harimashots]

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

[@rameshkamal4496]

Sir your teaching well .

[@Commenti5]

1:48. Started the video ♥️❤

[@ashmithaashmitha4743]

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

[@ManochaAcademy]

You're most welcome

[@awmgod6985]

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

[@rudzanimukosi9908]

2024,anyone?

[@megnamohan2565]

meeh

[@iamvariable01]

Yup

[@aaravjain2222]

mhm

[@arunakallon7958]

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

[@himajadevarapalli7554]

Very nice and useful sir👍🙏

[@madhusudarshanreddy9673]

Super questions in this interesting topic with best teacher 🙂

[@tejaravi723]

Way of teaching goooooooood

[@ugudegrey392]

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

[@ManochaAcademy]

Thanks for liking

[@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

[@StephenReech-h5i]

Very nice video ✍✍

[@meowmeow-xj6ci]

Watching this the night before exam 💀😭

[@kamatchisiva1719]

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

[@ManochaAcademy]

Most welcome

[@levenhomasuud6552]

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

[@hrithik7460]

Complementary angles r removed from trigonometric identites for the upcoming board examinations 2020-21

[@JitendraYadav-hf5rt]

Sir your explanation is too goood

[@ManochaAcademy]

Thanks for liking

[@DeepakDeepak-co1fx]

Sir do area related to circles lesson

[@bossgaming8978]

excellent teaching sir :)

[@ManochaAcademy]

Many thanks!

[@aanmipuradathilhil2741]

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

[@ManochaAcademy]

Glad to hear that

[@savitrisemwal2545]

Hi

[@gamig1208]

Sir your teaching is so clear I love it

[@ManochaAcademy]

Thanks and welcome

[@shashankkrshashank7280]

excellent sir

[@ManochaAcademy]

Many many thanks

[@kaushalchettri7913]

Thank u sir for coming forward and teaching us salute sir

[@ManochaAcademy]

It's my pleasure

[@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??

[@adnan_tech101]

One of the best academy on you tube

[@vikashgupta8788]

You are the best teacher

[@ManochaAcademy]

Thanks

[@annapurnapll8128]

Thank You Sir

[@ManochaAcademy]

Most welcome