SOLUTION: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = 1/2

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = 1/2      Log On


   

Question 729404: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)
cos θ = 1/2
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
In the first quadrant, we know that cos%2860%5Eo%29=1%2F2 (using degrees), or cos%28pi%2F3%29=1%2F2 if we prefer radians.
In the fourth quadrant, we also know that cos%28-60%5Eo%29=1%2F2 (using degrees), or cos%28-pi%2F3%29=1%2F2 if we prefer radians.
Angles in the second and third quadrants have negative cosines, so no solutions there.
For angles co-terminal with those, we can add multiples of 360%5Eo , or 2pi if we prefer radians to degrees.
All of those solutions can be written in one formula as
2k%2Api+%2B-+pi%2F3 if we prefer radians, or k%2A360%5Eo+%2B-+60%5Eo if we prefer degrees.