Final answer:
There are no values of x between 0 and 360 degrees that satisfy the equation.
Step-by-step explanation:
To find the values of x that satisfy the equation cos(2x) + 7sin(x) + 3 = 0 between 0 degrees and 360 degrees, we can use the fact that cos(0) = 1. By substituting 0 for x in the equation, we get:
cos(2 * 0) + 7sin(0) + 3 = 1 + 0 + 3 = 4
This implies that there are no values of x between 0 and 360 degrees that satisfy the equation.