Evaluate cosine using half angle formula

Evaluate cosine using half angle formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the half angle using the cosine formula. It starts by identifying the half angle and full angle, then applies the cosine formula for half angles. The tutorial covers simplifying fractions and concludes with the final calculation, emphasizing the importance of correctly applying mathematical operations.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of the half angle U / 2 if U is 45 degrees?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the cosine formula for the half angle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

In which quadrant does the angle 22.5 degrees lie, and what can you say about the cosine value in that quadrant?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in simplifying the expression sqrt(2 + sqrt(2)) / 2?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why can't you take the square root of a sum or difference separately?

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