Question 12
Find the two integer values of $x$ nearest to $2013^\circ$, one below and one above, satisfying
$$
2^{\sin^2 x} + 2^{\cos^2 x} = 2\sqrt{2}
$$
$$
2^{\sin^2 x} + 2^{\cos^2 x} = 2\sqrt{2}
$$
MathNet 2013 Question 12
Math Olympiad Vault · MathNet 2013