Trigonometric Identities

Trigonometric Identities and Trigonometric Ratios of Complementary Angles : LIVE Class at 8 PM Today!

At Manocha Academy, learning Science and Math is Easy! The school coursework is explained with simple examples that you experience every day! Yes, Science & Math is all around you! Let's learn every day from everyday life!

[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 👍

[AalapBhatt]

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

[harinirao.]

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.

[sarveshaswin]

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

[theartofmusic]

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

[gowtham]

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

[iamvariable]

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

[sundays]

Hope to see your *1 million family* soon

[pinklady]

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.

[SUJITHPAYANDATH]

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

[eguegueh]

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.

[sangaytee]

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...

[silasclems]

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

[verses]

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

[sunandap]

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🙂

[sohamkhamari]

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





Thanks sir.... 🤗🤗🤗

[shashankkumar]

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)

[singampallisuryaprakasarao]

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

[sahanabalikai]

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

[s.g.danush]

I enjoyed your class and love it so much