SOLUTION: Solve the equation in the interval from 0 to 2π. Give an exact answer and an answer rounded to the nearest hundredth.
sin θ = 1/2
-1/2 -1/2
sin -1/2 θ
Algebra ->
Trigonometry-basics
-> SOLUTION: Solve the equation in the interval from 0 to 2π. Give an exact answer and an answer rounded to the nearest hundredth.
sin θ = 1/2
-1/2 -1/2
sin -1/2 θ
Log On
Question 728229: Solve the equation in the interval from 0 to 2π. Give an exact answer and an answer rounded to the nearest hundredth.
sin θ = 1/2
-1/2 -1/2
sin -1/2 θ
Whatever you thought you were doing is something that you need to forget and never, ever think about again. You are adding 3 apples to 2 oranges and getting a bunch of bananas; in other words, nonsense.
The exact answer to an equation of this sort cannot be determined in general. This particular equation does have an exact solution that you can find by examination of the unit circle:
Note that the of an angle is equal to the -coordinate of the intersection of the unit circle and the terminal ray. Find the two angles on the given interval that have a -coordinate equal to .
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
