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Ambiguous Case in Trigonometry

Last updated over 7 years ago

10 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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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1.

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

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2.

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

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3.

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

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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?

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5.

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

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6.

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

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7.

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

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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?

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9.

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

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10.

Complete the chart to summarize your findings.