Using period as an aide with periodic functions

Using period as an aide with periodic functions

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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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.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a periodic function and how is it defined in relation to the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find a coterminal angle for a given angle, such as 120 degrees.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for angles to be coterminal, and how can you determine if two angles are coterminal?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you evaluate the sine of an angle that is larger than 360 degrees, such as 7π?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of graphing the angle π on the unit circle.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the sine function in relation to the coordinates on the unit circle?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How can understanding periodic functions and coterminal angles help in solving trigonometric problems?

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