Josh's trigonometric equations
Algebra
Level
3
If \(x\) and \(y\) are real values such that \(0^{\circ} \leq x-y \leq 180^{\circ}\) and
\[\begin{align} \sin x + \sin y &= 1, \\ \cos x + \cos y & = \sqrt{2}, \end{align} \]
what is the value (in degrees) of \( x - y \)?
This problem is posed by Josh P.
by
Mei Li