Solve the equation on the interval [0˚, 360˚): sin(2x) - cos⁡(x)= -sin(2x)

Answer 1

2sin(2x) - cos(x) = 0; 4sin(x)cos(x) - cos(x) = 0; cos(x)(4sin(x) - 1) = 0;

cos(x) = 0; x = 90° or x = 270°

sin(x) = 1/4; x = sin^-1(1/4) = 14.478° or x = 180° sin^-1(1/4) = 165.522°