Algebra 2 - How to Solve a Trigonometric Equation Using the Double Angle Formula

Algebra 2 - How to Solve a Trigonometric Equation Using the Double Angle Formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving trigonometric equations using the double angle formula. It begins with an introduction to the formula and its application. The teacher demonstrates solving an equation by moving terms to one side, factoring, and applying the zero product property. The solutions are found using the unit circle, focusing on when sine and cosine values meet specific conditions. The tutorial concludes with the final answers, emphasizing the importance of understanding the unit circle and trigonometric identities.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the double angle formula for sine?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you factor the equation 2 sine of X cosine of X - 2 sine of X = 0?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of X satisfy the equation sine of X = 0 within the interval [0, 2π)?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the unit circle in determining the values of sine and cosine.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the angles at which cosine equals 1 and sine equals 0 in the interval [0, 2π)?

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