Answer:
Step-by-step explanation:
Applying double angle identity:
Doing so would give:
We need to get everything to one side so we have 0 on one side.
Subtract 1 on both sides:
Add on both sides:
Let's factor the left-hand side.
The two terms on the left-hand side have a common factor of .
.
This implies we have:
.
We need to solve both equations.
You are asking they be solved in the interval .
This means look at your unit circle and find when you have your y-coordinates is 0.
You this at 0 and . (I didn't include because you don't have a equal sign at the endpoint of .
Now let's solve
Subtract 1 on both sides:
Divide both sides by 2:
Now we are going to go and look for when the y-coordinates are -1/2.
This happens at and .
The solution set given the restrictions is