Evaluate an angle using the double angle of cosine from a triangle

Evaluate an angle using the double angle of cosine from a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to sketch triangles in specific quadrants, focusing on the third quadrant between π and 3π/2. It discusses the properties of tangent, emphasizing why it is positive in this quadrant. The tutorial then introduces the cosine double angle formula, recommending the use of the first formula for most cases. Finally, it covers calculating the hypotenuse using the Pythagorean theorem and evaluates trigonometric functions using this information.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the quadrant for an angle between π and three Pi halves?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to sketch a triangle with its angle at the origin.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the opposite and adjacent sides in tangent?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the cosine double angle formula.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the hypotenuse using the Pythagorean theorem?

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