Master Evaluating the half angle for sine, cosine, and tangent given an angle

Master Evaluating the half angle for sine, cosine, and tangent given an angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate trigonometric expressions using the half angle formulas for sine, cosine, and tangent. It begins with an introduction to the half angle formula for sine, followed by a detailed application to find the sine of 15 degrees. The tutorial then covers the cosine half angle formula, demonstrating its use with an example. Finally, the tangent half angle formula is introduced and applied to solve a trigonometric expression. Throughout the video, the instructor emphasizes understanding the formulas and their applications in different quadrants.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle fractions when simplifying trigonometric expressions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles when using the half angle formulas?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the angle being in the second quadrant for cosine?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of evaluating tangent using the half angle formula.

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