solving a trigonometric equation with sine

solving a trigonometric equation with sine

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to solve the trigonometric equation 2 sine squared x = sine x using algebraic methods and the unit circle. It covers simplifying the equation, applying the zero-product property, and finding solutions on the unit circle. The tutorial also discusses how to determine all possible solutions for the equation.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation that the teacher is trying to solve?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What method does the teacher suggest to simplify the problem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the zero-product property and how is it applied in the solution?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the angles where sine of x equals 0?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the teacher determine the angles where sine of x equals 1/2?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of adding multiples of pi to the solutions?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general solution for the angles found in the unit circle?

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