Pre-Calculus - Using Double Angle Formulas to Help Solve for Solutions to an Equation

Pre-Calculus - Using Double Angle Formulas to Help Solve for Solutions to an Equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving trigonometric equations involving cosine. It begins with an introduction to the problem and reviews methods such as reverse operations and factoring. The instructor then applies multiple angle formulas to simplify the equation, using identities to express everything in terms of cosine. Finally, the equation is factored, and solutions are found using the unit circle, focusing on solutions within one revolution.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation presented in the lesson involving cosine?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the two methods learned for solving equations.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite cosine of 2X using the formula discussed.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first multiple angle formula for cosine mentioned?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the Pythagorean identities in solving the equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you factor the equation after substituting sine squared with cosine squared?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the solutions for cosine of X between 0 and 2π as discussed in the lesson?

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