Solve a trigonometric equation using the double angle formulas

Solve a trigonometric equation using the double angle formulas

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a trigonometric equation involving sine functions. It begins by rearranging the equation to bring all terms to one side. The instructor then introduces the double angle formula to simplify the equation further. By factoring out common terms, the equation is solved using the zero product property. The solution is verified using the unit circle, identifying angles where sine and cosine values meet the criteria.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation derived from sine of two Theta equals sine of Theta?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why sine of two Theta and sine of Theta cannot be combined directly.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the double angle formula for sine of two Theta?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you apply the zero product property to solve the equation derived from sine of two Theta?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the angles where sine of Theta equals 0 based on the unit circle.

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