1. (6 pts) The note 'G' above the note 'middle C' is a sound wave with...

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1. (6 pts) 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. (10 pts) Solve the equation cos(2x) = 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. (8 pts) Solve the equation 4 arcsin (2x) = 37. Show work. 4. (10 pts) Solve the equation sin(x) tan(x) + 2 sin(x) = 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.) 1. (6 pts) 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. (10 pts) Solve the equation cos(2x) = 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. (8 pts) Solve the equation 4 arcsin (2x) = 37. Show work. 4. (10 pts) Solve the equation sin(x) tan(x) + 2 sin(x) = 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.)