Given cosine, evaluate the half angle for sine

Given cosine, evaluate the half angle for sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the sine of U/2 given the cosine of U. It introduces the problem, applies the formula without needing a triangle, simplifies the expression, rationalizes the denominator, and discusses the importance of sign based on angle constraints. The tutorial emphasizes understanding the formula and the conditions under which the sine value is positive.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cosine of angle U given in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the sine of angle U using the cosine value provided?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer for the sine of U after rationalizing the denominator?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of the positive or negative sign in determining the value of sine.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What would happen to the cosine value if the angle were in the second quadrant?

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