Solving a trigonometric equation with an undefined answer of cosine

Solving a trigonometric equation with an undefined answer of cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve quadratic equations by factoring and applying the zero product property. It introduces the concept of the unit circle in trigonometry, emphasizing the importance of understanding its constraints, such as the maximum distance of 1. The tutorial also discusses the domain and range limitations in trigonometry, particularly when finding solutions for cosine values. The instructor highlights the importance of knowing key points on the unit circle and demonstrates how to find solutions for cosine equations using these points.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the zero product property and how is it applied in solving equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the unit circle in finding solutions for cosine values.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a solution is not within the domain for cosine values?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a cosine value is valid based on the unit circle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the angles where cosine of X equals zero, and how are they derived?

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