1. (6 pts) The note 'G' above the note 'middle C' is a sound wave with ordinary frequencyf= 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. (10 pts) Solve the equation cos(2x)=3cos(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. (8 pts) Solve the equation 4arcsin(2x)=3.Show work.

4. (10 pts) Solve the equation sin(x)tan(x)+2sin(x)=0, finding all solutions in the interval [0, 360).Show work. HINT: Start by factoring the left side of the equation, noting that

sinxis a factor.(You should be able to provide the exact values of the solutions and state them in degrees.)

5. (12 pts) For the triangleABC, we are given thatC= 75,a= 15.0, andc= 25.0. (Sideais the side opposite angleA, sidebis the side opposite angleB, and sidecis the side opposite angleC.) Solve the triangle; that is, find the two remaining angles and the remaining side. Report angles to the nearest degree and the length rounded to one decimal place.Show work.