Solve a trigonometric equation for all the real solutions with sine

Solve a trigonometric equation for all the real solutions with sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

FREE Resource

The video tutorial covers solving trigonometric equations with a focus on angle restrictions between 0 and 2π. It explains the concept of infinite solutions on the sine graph and demonstrates solving equations using factoring and the zero product property. The tutorial identifies specific angles where sine equals 0 or 1 and explores coterminal angles to find general solutions. The importance of finding solutions within the initial restriction before expanding to all possible angles is emphasized.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the unit circle in finding solutions to trigonometric equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the Zero Product Property in solving trigonometric equations?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What angles correspond to sine being equal to 0 and 1?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding coterminal angles for a given angle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of the restriction between 0 and 2π in trigonometric solutions.

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