How do we find the period of our trigonometric graphs sine and cosine

How do we find the period of our trigonometric graphs sine and cosine

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains the concept of the period in trigonometric graphs, focusing on sine and cosine functions. It uses the unit circle to demonstrate how these graphs repeat their values over a cycle. The tutorial covers the concept of periodicity, coterminal angles, and how to graph the cosine function. It also explains how to calculate the period of sine and cosine functions, especially when transformations are applied, by using the formula 2π divided by the coefficient B in the function's equation.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of the period in the context of trigonometric graphs?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do we find the period of sine and cosine graphs using the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of coterminal angles in relation to the periodicity of trigonometric functions.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the standard form of the sine and cosine functions, and how does it relate to the period?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the value of B in the standard form affect the period of the sine and cosine graphs?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of determining the period of a transformed sine or cosine function.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the period of a sine or cosine graph when the value of B is greater than 1?

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