1. The note 'G' above the note 'middle C' is a sound wave with ordinary frequency f = 392 Hertz = 392 cycles/second. State a sinusoid which models this note, assuming that the amplitude is 1 and the phase shift is 0. (no explanation required) 2. Solve the equation cos( 2 x) 3 cos( x) , finding all solutions in the interval [0, 2). Show work. (You should be able to provide the exact values of the solutions and state them in radians.) 3. Solve the equation 4 arcsin(2 x) 3 . Show work. 4. (10 pts) Solve the equation sin( x) tan( x) 2 sin( x) 0 = 0, finding all solutions in the interval [0, 360). Show work. HINT: Start by factoring the left side of the equation, noting that sin x is a factor. (You should be able to provide the exact values of the solutions and state them in degrees.)