Pre-Calculus - Evaluating the cosine of an angle using the sum formula cos(11π/12)

Pre-Calculus - Evaluating the cosine of an angle using the sum formula cos(11π/12)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to evaluate the cosine of 11π/12 by expressing it as the sum of two angles, 3π/4 and π/6, which are found on the unit circle. The instructor demonstrates the use of the cosine addition formula, evaluates the cosine and sine of the individual angles, and simplifies the result. The importance of understanding the unit circle is emphasized for solving such problems.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of knowing the unit circle in evaluating trigonometric functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the sine and cosine values for the angles 3π / 4 and π / 6?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you factor the expression obtained from evaluating the cosine of 11π / 12?

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