Answer:
If \(\cos(y) = \sin(\theta)\), you can determine the value of \(\theta\) by taking the inverse sine (or arcsin) of both sides of the equation:
\[ \theta = \arcsin(\cos(y)) \]
Keep in mind that \(\theta\) will be in the range \([-90^\circ, 90^\circ]\) or \([-π/2, \pi/2]\) depending on whether you're working with degrees or radians. The specific value of \(\theta\) would depend on the numerical value of \(\cos(y)\).