Using period as an aide with periodic functions

The video tutorial explains periodic functions and coterminal angles using the unit circle. It demonstrates how to evaluate the sine of 7π by recognizing periodic properties and simplifying the expression. The tutorial also covers graphing and evaluating the sine of π, emphasizing the concept of periodicity and how it can simplify calculations.

What is a periodic function?

• A function that never repeats its values

• A function that is always decreasing

• A function that repeats its values at regular intervals

• A function that is always increasing

What is a coterminal angle?

• An angle that shares the same initial and terminal sides with another angle

• An angle that is always 90 degrees

• An angle that is always 360 degrees

• An angle that is always 180 degrees

How do you find a coterminal angle?

• By adding or subtracting 360 degrees

• By adding or subtracting 90 degrees

• By adding or subtracting 45 degrees

• By adding or subtracting 180 degrees

What is the sine of 7π?

• Undefined

• 1

• 0

• -1

How can periodicity help in evaluating trigonometric functions?

• By making calculations more complex

• By allowing us to ignore certain cycles

• By changing the function's values

• By increasing the function's period

What is the significance of 2π in trigonometric evaluations?

• It represents a full rotation on the unit circle

• It represents half a rotation on the unit circle

• It represents no rotation on the unit circle

• It represents a quarter rotation on the unit circle

Why can we ignore multiple cycles of 2π when evaluating sine?

• Because they change the sine value

• Because they do not affect the sine value

• Because they make the sine value negative

• Because they make the sine value undefined