Evaluate using the half angle formula for cosine

Evaluate using the half angle formula for cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the cosine half angle formula and its application. It begins by introducing the formula and determining the quadrant for u/2, which affects the sign of the cosine value. The instructor then solves for u, calculates the cosine of pi over 4 using the unit circle, and simplifies the resulting fractions. The tutorial emphasizes understanding the trigonometric concepts and applying them to solve problems.

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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 half angle as discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

In which quadrant does u over 2 equal to pi over 8 lie?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of u when u over 2 is equal to pi over 8?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cosine of pi over 4 according to the unit circle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are taken to eliminate double fractions in the calculations?

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