Find the area of the greatest rectangle that can be inscribed in an ellipse.

[robertherd]

Thnx a lot pal. Very helpful, awesome explanation. From Barcelona, Spain. Thanks. Namasté🙏🏻❤️

[gtaeverrr]

Why are the coordinates in terms of trig functions

[sahithianantha-]

how did they get the side of rectangle as 2acos(theta) and 2asin(theta)

[dhruvkaushik]

Sir coordinate se krne aate h
Without coordinate ke krao

[raishaajahir]

How the coordinates of the rectangle in terms of a cos theta and b sin theta ?

[Bangalibabu]

Can't we take the co-ordinate as (a/2)sinx and (b/2)cosx. Which will give area as ½sinx ?
But gives different result, like in my case it is ab.

[sJ-hxxj]

Okay but how to do this with integration?

[thetvchannel]

how does 2ab cos * 2ab sin equal 2 ab sin^2?

[abetyabut]

how is (2acostheta)(2bsintheta) = 2absin2theta

[uolxox]

Beautiful Handwriting, thank you for the explanation. Please can you explain how you obtained the coordinates?

[wseifertwseifert]

Quality math video. Best explanation I've seen, thank you for uploading.