Solving for sine with no constraints

Solving for sine with no constraints

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric equations without interval restrictions. It begins by isolating the sine function and solving for X. The unit circle is used to find angle solutions, and the concept of graphing sine is introduced to understand infinite solutions. The tutorial concludes with an explanation of coterminal angles and how to express general solutions by adding multiples of 2π.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to isolate the trigonometric function in the given problem?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the unit circle is used to find the sine values for angles.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two angles where the sine of the angle equals sqrt(2)/2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the sine graph behave beyond the interval of 0 to 2π?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for angles to be coterminal, and how can you find them?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of adding 2π to the angles found in the sine function.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the implications of removing the interval restriction when solving for sine values?

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