Ambiguous Case in Trigonometry

Last updated almost 7 years ago

10 questions

Note from the author:

This formative was created to help students understand why there is an ambiguous case when given the SSA information about a triangle as asked to solve the remaining parts.

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Ambiguous Case in Trigonometry

Last updated almost 7 years ago

10 questions

Note from the author:

This formative was created to help students understand why there is an ambiguous case when given the SSA information about a triangle as asked to solve the remaining parts.

Question 1

What is the term for an angle that is less than 90o?

Question 2

Using the diagram from above, the measure of Angle A is
Calculate b sin A when b = 9

Question 3

In the diagram above, adjust a so that a < 4.5. How many complete triangles are formed?

Question 4

In the diagram above, adjust a so that it is the same measure as your calculation for b sin A. How many triangles can be formed?

Question 5

Adjust a so that it is larger than your measurement for b sin A but smaller than b. How many triangles are formed?

Question 6

Adjust a so that it is larger than b. How many triangles are formed?

Question 7

What is the term used for an angle whose measure is larger than 90o?

Question 8

Adjust angle A so it is larger than 90 o. Adjust a so that it is smallerthan b. How many complete triangles can you form?

Question 9

Continue with angle A larger than 90o. Adjust a so that it is larger than b. How many complete triangles can you form?

Question 10

10.

Complete the chart to summarize your findings.

Question 1

What is the term for an angle that is less than 90o?

Question 2

Using the diagram from above, the measure of Angle A is
Calculate b sin A when b = 9

Question 3

In the diagram above, adjust a so that a < 4.5. How many complete triangles are formed?

Question 4

In the diagram above, adjust a so that it is the same measure as your calculation for b sin A. How many triangles can be formed?

Question 5

Adjust a so that it is larger than your measurement for b sin A but smaller than b. How many triangles are formed?

Question 6

Adjust a so that it is larger than b. How many triangles are formed?

Question 7

What is the term used for an angle whose measure is larger than 90o?

Question 8

Adjust angle A so it is larger than 90 o. Adjust a so that it is smallerthan b. How many complete triangles can you form?

Question 9

Continue with angle A larger than 90o. Adjust a so that it is larger than b. How many complete triangles can you form?

Question 10

10.

Ambiguous Case in Trigonometry

Ambiguous Case in Trigonometry

What is the term for an angle that is less than 90o?

Using the diagram from above, the measure of Angle A isCalculate b sin A when b = 9

In the diagram above, adjust a so that a < 4.5. How many complete triangles are formed?

In the diagram above, adjust a so that it is the same measure as your calculation for b sin A. How many triangles can be formed?

Adjust a so that it is larger than your measurement for b sin A but smaller than b. How many triangles are formed?

Adjust a so that it is larger than b. How many triangles are formed?

What is the term used for an angle whose measure is larger than 90o?

Adjust angle A so it is larger than 90 o. Adjust a so that it is smallerthan b. How many complete triangles can you form?

Continue with angle A larger than 90o. Adjust a so that it is larger than b. How many complete triangles can you form?

Complete the chart to summarize your findings.

What is the term for an angle that is less than 90o?

Using the diagram from above, the measure of Angle A isCalculate b sin A when b = 9

In the diagram above, adjust a so that a < 4.5. How many complete triangles are formed?

In the diagram above, adjust a so that it is the same measure as your calculation for b sin A. How many triangles can be formed?

Adjust a so that it is larger than your measurement for b sin A but smaller than b. How many triangles are formed?

Adjust a so that it is larger than b. How many triangles are formed?

What is the term used for an angle whose measure is larger than 90o?

Adjust angle A so it is larger than 90 o. Adjust a so that it is smallerthan b. How many complete triangles can you form?

Continue with angle A larger than 90o. Adjust a so that it is larger than b. How many complete triangles can you form?

Complete the chart to summarize your findings.

Using the diagram from above, the measure of Angle A is
Calculate b sin A when b = 9

Using the diagram from above, the measure of Angle A is
Calculate b sin A when b = 9