In the range \(0\leq x < 2\pi\) the equation \[2^{\sin^2(x)} + 2^{\cos^2(x)} =2\]
has \(0\) solutions;
has \(1\) solution;
has \(2\) solutions;
holds for all values of \(x\).
In the range \(0\leq x < 2\pi\) the equation \[2^{\sin^2(x)} + 2^{\cos^2(x)} =2\]
has \(0\) solutions;
has \(1\) solution;
has \(2\) solutions;
holds for all values of \(x\).