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Nairaland Mathematics Clinic - Education (240) - Nairaland

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Mathematics Clinic / 2015 Cowbell Mathematics Champion, Akinkuowo Honoured By School. / Lead City University Clinic Welcomes First Ever Baby Since 10 Years Of Opening (2) (3) (4)

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Re: Nairaland Mathematics Clinic by Icosahedron(m): 12:18pm On Jun 01, 2017
thankyouJesus:

use
sin A + sin B = 2sin((A+B)/2) cos((A-B)/2)) = x
cosa + cosb = 2cos((a+b)/2) cos((a-b)/2) = y
divide x/y = tan((a+b)/2)
use knowledge of right angled triangle and Pythagora's to complete it.

Wrong approach.
Re: Nairaland Mathematics Clinic by Icosahedron(m): 12:20pm On Jun 01, 2017
thankyouJesus:


I stated the one for cos above.

sina - sinb = 2cos((a+b)/2) sin((a-b)/2)

continue from here


That is a terrible way to approach the problem. I believe they are more sophisticated identities that could bail you out.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 6:32pm On Jun 01, 2017
Icosahedron:



That is a terrible way to approach the problem. I believe they are more sophisticated identities that could bail you out.
I dof my hat for you. Wrong approach! Smiles.


Well, what do I know?
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 6:40pm On Jun 01, 2017
holuwajobar:
Chop this simple math

4^x=8x......

Show workings....am nt interested in ur guess...
Trying to solve this analytically may raise some eye lids.
Use Falsi method to pick initial point, complete your solution with Newton Raphson method (Numerical Analysis).
Re: Nairaland Mathematics Clinic by Icosahedron(m): 11:46pm On Jun 01, 2017
thankyouJesus:

I dof my hat for you. Wrong approach! Smiles.


Well, what do I know?


Given that
sinA + sinB = x and
cosA + cosB = y

To solve this systems of equations. Sqaure both systems to obtain

sin²A + 2sinAsinB sin²B = x² (*)
cos²A + 2cosAcosB + cos²B = y² (**)

adding we obtain

2 + 2(sinAsinB + cosAcosB) = x² + y²
or
2 +2(cos(A-B)) = x² + y²

*** cos(A-B) = (x² + y² - 2)/2

Complete the solution thankyoujesus and you shall obtain similar argument for tan(A-B) and use the half-angle identity to obtain the value of tan(A-B)/2 and then proceed to solve the original problem.
Re: Nairaland Mathematics Clinic by Icosahedron(m): 11:57pm On Jun 01, 2017
Let a,b,c,d be numbers on the interval (0, 180) such that

sina 7sinb =4(sinc + 2sind)
cosa + 7cosb =4(cosc + 2cosd)

Prove that 2cos(a-d) = 7cos(b-c),

thankyoujesus you can actually use the method exemplified above to solve this problem.

1 Like

Re: Nairaland Mathematics Clinic by Icosahedron(m): 12:00am On Jun 02, 2017
Let ABC be a triangle, prove that

(a+b+c)[tanA/2 + tanB/2] = 2cotC/2
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 12:49am On Jun 02, 2017
Icosahedron:
Given that
sinA + sinB = x and
cosA + cosB = y

To solve this systems of equations. Sqaure both systems to obtain

sin²A + 2sinAsinB sin²B = x² (*)
cos²A + 2cosAcosB + cos²B = y² (**)

adding we obtain

2 + 2(sinAsinB + cosAcosB) = x² + y²
or
2 +2(cos(A-B)) = x² + y²

*** cos(A-B) = (x² + y² - 2)/2

Complete the solution thankyoujesus and you shall obtain similar argument for tan(A-B) and use the half-angle identity to obtain the value of tan(A-B)/2 and then proceed to solve the original problem.
Your approach was highly sophisticated no doubt, welldone sir. Na you o, wetin I know.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 12:58am On Jun 02, 2017
Icosahedron:
Let ABC be a triangle, prove that

(a+b+c)[tanA/2 + tanB/2] = 2cotC/2
Why post questions you have solution to? Post questions you don't have solution to so that people can help.

I have lot to type based on our short memo but I dont take things personal. Word on marble, you are good no doubt but my working will also lead to same answer just that my approach is not sophisticated as you have rightly termed it, smiles.

Be flexible, most Mathematics questions can be solved in variety of ways.


Note: You can always beckon on me if you have Mathematics questions you can't solve. One love.
Re: Nairaland Mathematics Clinic by Icosahedron(m): 9:05am On Jun 02, 2017
thankyouJesus:
Why post questions you have solution to? Post questions you don't have solution to so that people can help.

I have lot to type based on our short memo but I dont take things personal. Word on marble, you are good no doubt but my working will also lead to same answer just that my approach is not sophisticated as you have rightly termed it, smiles.

Be flexible, most Mathematics questions can be solved in variety of ways.


Note: You can always beckon on me if you have Mathematics questions you can't solve. One love.


Alright, I'll be sharing with you my Calculus assignments then if you UNIBEN accepts me since I don't like Calculus.

As for the problems above, I didn't have answers to them when I shared the problem on this forum, it was an exercise in a textbook I was reading for Trigonometry.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 12:08pm On Jun 02, 2017
Icosahedron:



Alright, I'll be sharing with you my Calculus assignments then if you UNIBEN accepts me since I don't like Calculus.

As for the problems above, I didn't have answers to them when I shared the problem on this forum, it was an exercise in a textbook I was reading for Trigonometry.
Okay then.
Re: Nairaland Mathematics Clinic by Patbaker(f): 8:50am On Jun 03, 2017
Icosahedron:



Alright, I'll be sharing with you my Calculus assignments then if you UNIBEN accepts me since I don't like Calculus.

As for the problems above, I didn't have answers to them when I shared the problem on this forum, it was an exercise in a textbook I was reading for Trigonometry.


Please do dat ASAP
Re: Nairaland Mathematics Clinic by Icosahedron(m): 1:56pm On Jun 03, 2017
Patbaker:



Please do dat ASAP


I'm sorry but I don't get you
Re: Nairaland Mathematics Clinic by Nobody: 2:06pm On Jun 03, 2017
Icosahedron:


I'm sorry but I don't get you
Lol, she meant, do it quickly , WITHOUT wasting time
Re: Nairaland Mathematics Clinic by Icosahedron(m): 2:58pm On Jun 03, 2017
Tollicin:

Lol, she meant, do it quickly , WITHOUT wasting time


I should do what quickly
Re: Nairaland Mathematics Clinic by Nobody: 4:16pm On Jun 03, 2017
Icosahedron:


I should do what quickly
ARE you not the one that said, you want to share your calculus assignment ?
Re: Nairaland Mathematics Clinic by Icosahedron(m): 4:21pm On Jun 03, 2017
Tollicin:

ARE you not the one that said, you want to share your calculus assignment ?


Uhm.. Patbaker are you having problems on Calculus
Re: Nairaland Mathematics Clinic by Patbaker(f): 9:55pm On Jun 03, 2017
Icosahedron:


I'm sorry but I don't get you

Lol I meant Please share ur calculus assignment with us as soon as possible ooo
Re: Nairaland Mathematics Clinic by Icosahedron(m): 11:22pm On Jun 03, 2017
Patbaker:



Lol
I meant
Please share ur calculus assignment with us as soon as possible ooo


I understand we applied for the same course at UNIBEN, right?
Re: Nairaland Mathematics Clinic by Patbaker(f): 9:39am On Jun 04, 2017
Icosahedron:

I understand we applied for the same course at UNIBEN, right?

Yeah i just hope we re all given the admission since the course is not competitive

1 Like

Re: Nairaland Mathematics Clinic by rjek: 4:18pm On Jun 05, 2017
Who can help me solve this step by step?

Re: Nairaland Mathematics Clinic by AngelicDamsel(f): 7:27pm On Jun 05, 2017
Re: Nairaland Mathematics Clinic by kidrossy(m): 10:37am On Jun 06, 2017
Add me up to the group...Pls 08172578620
Re: Nairaland Mathematics Clinic by agentofchange1(m): 1:45pm On Jun 06, 2017
Done !
Re: Nairaland Mathematics Clinic by celenas(m): 3:37pm On Jun 06, 2017
Good day everyone.. Pls who can help me dissolve this mathematics.. Thanks

Re: Nairaland Mathematics Clinic by Kentorm441(m): 1:11pm On Jun 08, 2017
Please, I want Mathematics scholars to solve this question for meTake this Find x & y If x^x^x=log3 and x^y^y=log8.
Re: Nairaland Mathematics Clinic by seunlly(m): 1:32pm On Jun 08, 2017
celenas:
Good day everyone.. Pls who can help me dissolve this mathematics.. Thanks
the variation question. answer is $2500.
Factorization is 3 or 0.5.
that third X does not have any coefficient
Re: Nairaland Mathematics Clinic by seunlly(m): 1:44pm On Jun 08, 2017
agentofchange1:

Yes
08164430528 do it boss
Re: Nairaland Mathematics Clinic by seunlly(m): 1:53pm On Jun 08, 2017
gurus help me out I'm half way

Re: Nairaland Mathematics Clinic by thankyouJesus(m): 3:30pm On Jun 08, 2017
rjek:
Who can help me solve this step by step?
Ordinary differential equation? It is exact.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 3:35pm On Jun 08, 2017
celenas:
Good day everyone.. Pls who can help me dissolve this mathematics.. Thanks
1. You have to dismantle the shape into different shapes like triangle. Your knowledge of corresponding, alternate and opposite angle will be tested.
2. Use completing the square method.
3. Someone has provided answer already.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 3:38pm On Jun 08, 2017
seunlly:
gurus help me out I'm half way
What are you trying to do?

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