Answer:
Step-by-step explanation:
We are given the equation:
First, we can divide everything by 2:
Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:
Solve for u. Factor:
Zero Product Property:
Solving for both cases:
And by substitution:
For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:
Where n is an integer.
For the second case, sin(x) is -1 for every 3π/2. Thus:
All together, our solutions are:
