Question

If sin(X+Y) = cos(X−Y) = 1, find the value of X and Y.​

Answer 1

Step-by-step explanation:

sin(X+Y)= 1

cos(X-Y)= 1

As sin 90=1. then,

90=X+Y

also we know cos 0= 1 then,

0= X-Y

From both the equations

we get the value of

X=45°

Y=45°

Hope it helps :)