The simultaneous equations in \(x\),\(y\), \[(\cos\theta)x - (\sin\theta)y = 2\] \[(\sin\theta)x + (\cos\theta)y = 1\] are solvable

for all values of \(\theta\) in the range \(0 \leq \theta < 2\pi\);

except for one value of \(\theta\) in the range \(0 \leq \theta < 2\pi\);

except for two values of \(\theta\) in the range \(0 \leq \theta < 2\pi\);

except for three values of \(\theta\) in the range \(0 \leq \theta < 2\pi\).