SOLUTION: Hi all, I was hoping to get some help with the following problem(s) involving raidians and applicable angles. Find all angles (θ) between 0 and 2π radians that satisfy:

Question 301187: Hi all, I was hoping to get some help with the following problem(s) involving raidians and applicable angles.
Find all angles (θ) between 0 and 2π radians that satisfy:
a) sin θ = 0.5
b) 2 cos^2 θ = 3 - 3 sin θ
I need answers in terms of π. How do I show/solve for this?
Thanks,
- Nick.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all angles (θ) between 0 and 2π radians that satisfy:
a) sin θ = 0.5
θ = pi/6
θ = 5pi/6
-------------------
b) 2 cos^2 θ = 3 - 3 sin θ
cos^2 = 1 - sin^2
2(1 - sin^2) = 1 - sin^2
2 - 2sin^2 = 1 - sin^2
1 = 3sin^2
sin^2(θ) = 1/3
sin(θ) = sqrt(3)/3
θ = arcsin(sqrt(3)/3)
θ =~ 0.61548, 2.52611 radians

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SOLUTION: Hi all, I was hoping to get some help with the following problem(s) involving raidians and applicable angles. Find all angles (&#952;) between 0 and 2&#960; radians that satisfy:

SOLUTION: Hi all, I was hoping to get some help with the following problem(s) involving raidians and applicable angles. Find all angles (θ) between 0 and 2π radians that satisfy: