Find all pairs \( (x,y) \) with \(x,y\) real, satisfying the equations $$\sin\bigg(\frac{x+y}{2}\bigg)=0~,~\vert x\vert+\vert y\vert=1$$

# Discussion:

Find all pairs \( (x,y) \) with \(x,y\) real, satisfying the equations $$\sin\bigg(\frac{x+y}{2}\bigg)=0~,~\vert x\vert+\vert y\vert=1$$

Can u please tell which book of yaglom?as he has written many books i guess.

Thnx

I think the name of the book is Challenging Mathematical Problems with elementary solutions. There are about 300 problems in the book and somewhere at the end of it, this problem is given

Sorry again for bothering you but i culdn’t find the problem in yaglom.can u please help with page no.!

Faiz, let me double check

Okay thnx.waiting for ur reply.

can u tell which book is best for ISI(B.math) entrance examination

Test of Mathematics

Please give the solution of problem no 5,bstat 2018