SOLUTION: Find all of the angles which satisfy the given equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list.) sin(θ) =1/

Algebra ->  Trigonometry-basics -> SOLUTION: Find all of the angles which satisfy the given equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list.) sin(θ) =1/      Log On


   



Question 917061: Find all of the angles which satisfy the given equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list.)
sin(θ) =1/2

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Examine the unit circle. There are two angles on the unit circle for which sin is 1/2. Those are pi/6 and 5pi/6 (30 and 150 degrees). The period for sin is 2pi (360 degrees), so values repeat every 2pi (360 degrees).


The answers are pi/6 +2kpi, 5pi/6 + 2kpi. In degrees it's 30+369k, 150 +360k.