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7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 11.CT, Problem 1CT

Textbook Problem

For the right triangle shown, express each of the following in terms of a, b, and c:

a) sin α b) tan β |

Expert Solution

To determine

a

**To express:**

The ratio sin α in terms of a, b, and c.

**Solution:**

The value of sin α in terms of *a*, *b*, and *c* is sin α =

**Definition:**

In a right triangle, the sine ratio for an acute angle is the ratio

**Given:**

The right triangle shown below

From the figure given,

For the angle α, opposite side = *a* and hypotenuse = *c.*

By the definition, sin α =

sin α =

**Conclusion:**

The value of sin α in terms of *a*, *b*, and *c* is sin α =

Expert Solution

To determine

b.

**To express:**

The given tan β in terms of a, b, and c.

**Solution:**

The value of tan β in terms of *a*, *b*, and *c* is tan β =

**Definition:**

In a right triangle, the tangent ratio for an acute angle is the ratio

**Given:**

The right triangle shown below

**Calculation:**

For the angle β, opposite side = *b* and adjacent side = *a.*

By the definition, tan β=

tan β =

**Conclusion:**

The value of tan β in terms of *a*, *b*, and *c* is tan β =

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Get SolutionsElementary Geometry For College Students, 7e

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Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...

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Use the drawings....Ch. 11.CR - In Review exercises 21 to 30. Use the drawings....Ch. 11.CR - In Review exercises 21 to 30. 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