a
To express:
The ratio sin α in terms of a, b, and c.
Answer to Problem 1CT
Solution:
The value of sin α in terms of a, b, and c is sin α =
Explanation of Solution
Definition:
In a right
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 =
b.
To express:
The given tan β in terms of a, b, and c.
Answer to Problem 1CT
Solution:
The value of tan β in terms of a, b, and c is tan β =
Explanation of Solution
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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Chapter 11 Solutions
Elementary Geometry for College Students
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning