True or false: periodicity

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   cos(2nπ + x) = cos x for any whole number n.

2. Statement is true

   Yes

   Statement

   sin(2nπ + x) = sin x for any whole number n.

3. Statement is true

   No

   Statement

   Adding 2π to the angle changes the sine value.

4. Statement is true

   Yes

   Statement

   2π radians is a full turn.

5. Statement is true

   Yes

   Statement

   π radians equals 180 degrees.

Explanation