Master Solving a trigonometric equation using the sum and difference formulas

Master Solving a trigonometric equation using the sum and difference formulas

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric equations using sum and difference formulas. It begins with an introduction to these formulas and their importance in solving equations. The instructor demonstrates the application of the sum formula for sine and addresses common mistakes, such as misidentifying cosine values. The tutorial also covers finding solutions for cosine of X equals one and one-half, using the unit circle for reference. Finally, the instructor applies sum and difference formulas for cosine to solve equations, emphasizing the need for careful distribution of negative signs.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles in the first and second quadrants for cosine values?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the sum and difference formulas for cosine in solving equations?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of rationalizing the denominator in trigonometric equations.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two angles between 0 and 2π where sine equals -√2/2?

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