How to solve a trig equation with square roots

How to solve a trig equation with square roots

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a trigonometric equation involving cosine. It begins with isolating the trigonometric function and solving the equation by taking the square root, ensuring to consider both positive and negative solutions. The instructor then uses the unit circle to identify possible angle solutions and demonstrates how to simplify these solutions by recognizing coterminal angles. The tutorial emphasizes understanding the distance between angles and how to represent solutions efficiently.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to isolate cosine squared of X in the equation 4 cosine squared of X = 1?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of including both the positive and negative square roots when solving for cosine of X.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the angles corresponding to the cosine values of ±1/2 on the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles π/3 and 2π in terms of coterminal angles?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe a simpler method to express multiple angles derived from a trigonometric equation.

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