Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points

Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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Quizizz Content

FREE Resource

This video tutorial teaches how to graph sinusoidal functions, focusing on sine and cosine. It explains the use of the unit circle, radians, and quadrants to plot these functions. The tutorial covers the periodic nature and amplitude of sine and cosine graphs, providing techniques for drawing them by hand. It also clarifies the notation used in trigonometric functions, emphasizing the importance of understanding the relationship between angles and their sine and cosine values.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the x and y coordinates of a point on the terminal ray in the unit circle, and how do they relate to sine and cosine?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the values 1 and -1 in relation to sine and cosine functions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the sine graph differs from the cosine graph in terms of their starting points.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a function to be periodic, and what is the period of sine and cosine functions?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you graph one period of the sine function starting from 0?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the five-point pattern for sine and cosine graphs, and how can it help in sketching these graphs?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the notation used for sine and cosine functions and how it can be confusing.

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