isi-entrance 2018 Q1

isi-entrance · India · UGB Standard trigonometric equations Locus or solution set characterization of a trigonometric relation

Find all pairs $( x , y )$ with $x , y$ real, satisfying the equations: $$\sin \left( \frac { x + y } { 2 } \right) = 0 , \quad | x | + | y | = 1$$

Find all pairs $( x , y )$ with $x , y$ real, satisfying the equations:
$$\sin \left( \frac { x + y } { 2 } \right) = 0 , \quad | x | + | y | = 1$$