Find the angle between 0 and 2𝜋 that is equivalent to 41/4𝜋. (Use symbolic notation and fractions where needed.)

Answer 1

If we turn 41/4∏ = 10 1/4∏ so it is a mixed number. It will be easier to evaluate.

2∏ is a complete rotation, so 10∏ is 5 times around the circle and can be ignored. We can disregard the multiples of rotation.

We are left with 1/4 ∏ or ∏/4. So the angle would be ∏⁄4.