Which of the following are solutions to the following equation where 0≤θ<2π 2cos(πθ)=1

Question

i am supposed to select all the correct answers

i have marked next to the ones that i think are correct

the options are:

1/3 (correct)

4/3

5/3 (correct)

7/3 (correct)

8/3

11/3

just trying to make sure if there are other correct answers besides the ones i got and if im just wrong or not

Answer 1

You are correct for 1/3π and 5/3π as they are withing the 0-2π domain. 7/3π is outside. The wording of the problem is somewhat confusing as theta is between 0-2π but the problem has cos(πθ) which would meant the input to the cosine function would be up to 2π². So technically your 7/3 response would work as well.