Using the law of sines to solve two cases of SSA

Using the law of sines to solve two cases of SSA

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the concept of ambiguous cases in triangles, specifically focusing on side-side-angle (SSA) scenarios. It demonstrates how to calculate angle B using trigonometric ratios and discusses the implications of reference angles. The tutorial further analyzes different cases, showing how to set up and solve equations to find possible solutions for triangles. The key takeaway is understanding how to handle ambiguous cases and determine the number of possible solutions.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the given angles and sides of the triangle discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the ambiguous case when dealing with side-side-angle in triangles.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the sine of angle B using the given values?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two possible values for angle B derived from the calculations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of reference angles in this context?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find angle C when angle B is known.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the two cases of triangle solutions differ in terms of angles?

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