Need Help with Maths...

[werto165]

I'm doing some maths problems about finding the area enclosed by polar graphs, I've found one that's has stumped me: 

 

 

I know the general formula to work out the area its:  

A=area 

 

 

 

 

A=∫​_α​^β​​1/2​​r​^2​​dθ.

 

It's just finding the alpha and the beta that's the tricky part. 

 

I know you can calculate it by looking at the graph but that's not what I want to do. I want to be able to do it without the aid of a graph that's already been drawn. 

 

I know that you set r = 0 

 

such that -1/2 = sin(θ)

 

so θ = -pi/6

 

but I don't know where you go from there. 

 

I can draw a CAST diagram : 

 

 

because sin is negative, the angles are in the first quadrant( C ) and the fourth quadrant(T) 

 

Can someone just tell me if that's right. 

[Guest Haduvokone]

I'm doing some maths problems about finding the area enclosed by polar graphs, I've found one that's has stumped me: 

 

 

I know the general formula to work out the area its:  

A=area 

 

 

 

 

A=∫​α​β​​​2​​1​​r​2​​dθ.

 

It's just finding the alpha and the beta that's the tricky part. 

 

I know you can calculate it by looking at the graph but that's not what I want to do. I want to be able to do it without the aid of a graph that's already been drawn. 

 

I know that you set r = 0 

 

such that -1/2 = sin(θ)

 

so θ = -pi/6

 

but I don't know where you go from there. 

 

I can draw a CAST diagram : 

 

 

because sin is negative, the angles are in the first quadrant( C ) and the fourth quadrant(T) 

 

Can someone just tell me if that's right. 

omg you ask such difficult questions sorry i am to stupid for this

[Laputacake]

All I see are circles...

[Bogica]

What grade is this? I have no idea what this is.

[vlado88]

What grade is this? I have no idea what this is.

 

I don't think this is in school.

This is the type of stuff, where if you find the answer, on the next day some billion dollar company gives you a job offer.

But then again... what do I know...

[GrimNeo]

LinusMathTips

[werto165]

What grade is this? I have no idea what this is.

Well I am 18 years old so whatever grade that is. 

[T.Vengeance]

I'm doing some maths problems about finding the area enclosed by polar graphs, I've found one that's has stumped me: 

 

 

I know the general formula to work out the area its:  

A=area 

 

 

 

 

A=∫​_α​^β​​1/2​​r​^2​​dθ.

 

It's just finding the alpha and the beta that's the tricky part. 

 

I know you can calculate it by looking at the graph but that's not what I want to do. I want to be able to do it without the aid of a graph that's already been drawn. 

 

I know that you set r = 0 

 

such that -1/2 = sin(θ)

 

so θ = -pi/6

 

but I don't know where you go from there. 

 

I can draw a CAST diagram : 

 

 

because sin is negative, the angles are in the first quadrant( C ) and the fourth quadrant(T) 

 

Can someone just tell me if that's right. 

Yup. I haven't gone through integrals of polar functions yet. But if to find the inner and outer bounds of your integrals is to let r = 0, then yeah your inner/outer bounds would be 7pi/6 and 11pi/6

[Toxic Tom]

You've got a cardioid polar pattern on your hands there

[IMPERIUS]

Wow what grade is this? I've just come into high school and im struggling, how can I get throigh THIS?!?!

[KE2012]

This is uni level stuff for the people asking. What I would suggest is maipulate the question so you are solving something ever so slightly different, e.g rotate it 90 degrees,then work out the maxima and minima (You will have 2 max and 2 min), use common sense to work out which ones to use and then plug that into your equation.

 

Hope this helps.

 

(I would help a bit more but its getting late and I have uni early tomorrow)

[Leonard]

Judging from the answers........you is F*****!

 

Man just do like the rest of them and fail or you can do like me and skip this bloody gray hair making question and go to the other maths question.  

 

Trying to make us relive that shit  :angry: thought we were friends! @werto165 

[werto165]

Judging from the answers........you is F*****!

 

Man just do like the rest of them and fail or you can do like me and skip this bloody gray hair making question and go to the other maths question.  

 

Trying to make us relive that shit  :angry: thought we were friends! @werto165 

Well this isn't necessary for what I'm going to do in my exams, just thought that it's worth doing considering that I'm doing mechanical engineering at uni. I don't mind, I find maths really fun. 

[Leonard]

Well this isn't necessary for what I'm going to do in my exams, just thought that it's worth doing considering that I'm doing mechanical engineering at uni. I don't mind, I find maths really fun. 

okay wizard okay!