MathCastle
TrigonometryChallengeTrigonometric Equations

Trigonometric Equations · Challenge problem

Find the sum of all solutions of 2sin⁡2x+2cos⁡2x=222^{\sin^2 x} + 2^{\cos^2 x} = 2\sqrt{2} in the interval [0,2π)[0, 2\pi).