Determine the Value of Theta When Given the Value of Cosine

Determine the Value of Theta When Given the Value of Cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the value of Theta in degrees and radians without a calculator. It focuses on the unit circle, specifically the first quadrant, and identifies the angle where the cosine is equal to sqrt 2/2. The solution is found to be π/4 or 45 degrees. The tutorial emphasizes understanding the unit circle and the relationship between angles and coordinates.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to focus only on the first quadrant when solving for angles in this context?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the cosine of an angle and the x-coordinate on the unit circle?

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