Answer:
Step-by-step explanation:
If I'm interpreting that correctly, you are trying to solve this equation:
for theta. To do this, you will need a trig identity sheet (I'm assuming you got one from class) and a unit circle (ditto on the class thing).
We need to solve for theta. If I look to my trig identities, I will see a double angle one there that says:
We will make that replacement, then we will have everything in terms of sin.
Now get everything on one side of the equals sign to solve for theta:
We can factor out the common sin(theta):
By the Zero Product Property, either
or
Now look at your unit circle and find that the values of theta where the sin is 0 are located at:
The next one we have to solve for theta:
simplifies to
and
Look at the unit circle again to find the values of theta where the sin is -1/2:
Those ar your values of theta!