How to evaluate for the cosine of an angle using the sum formula

How to evaluate for the cosine of an angle using the sum formula

Assessment

Interactive Video

Mathematics, Other

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to determine the cosine of 7π/12 using trigonometric identities. It begins by introducing the problem and the lack of a direct point on the unit circle for this angle. The instructor then explains how to use the sum and difference formulas to break down the angle into two known angles, π/4 and π/3. The video emphasizes the importance of understanding the unit circle for efficient evaluation. The instructor demonstrates the step-by-step calculation and simplification process, concluding with a reminder of the method's utility and addressing potential questions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the cosine of the sum of two angles U and V?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of understanding the unit circle when evaluating trigonometric functions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What values do you need to evaluate the cosine of π / 4 and π / 3?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you combine fractions when calculating the cosine of seven π / 12?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you represent the cosine of seven π / 12 using the addition of two angles?

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