What is tan(A)? 3 A √5 2 tan(A) = Hint: Remember to rationalize the denominator. Enter [?]]
What is tan(A)? 3 A √5 2 tan(A) = Hint: Remember to rationalize the denominator. Enter [?]]
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
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![**Title: Understanding Tangent in Right Triangles**
**Section: What is tan(A)?**
To solve for the tangent of angle A in the given right triangle, observe the diagram below:
**Diagram Description:**
- The triangle is a right triangle with one angle labeled as A.
- The sides of the triangle are labeled: opposite to angle A is 3, adjacent to angle A is 2, and the hypotenuse is labeled as √5.
**Equation for Tangent:**
The formula for the tangent of angle A in a right triangle is given by:
\[
\text{tan}(A) = \frac{\text{opposite}}{\text{adjacent}}
\]
For this triangle, substitute the known side values:
\[
\text{tan}(A) = \frac{3}{2}
\]
**Rationalization Hint:**
The note accompanying the equation reminds you to "Remember to rationalize the denominator." This is an important step when dealing with irrational numbers in fractions.
**Submit Your Answer:**
Once you have calculated the value, you can input it and press "Enter" to submit.
**Note:**
Always ensure the denominator is rationalized in your final answer to adhere to proper mathematical conventions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b7d8e5-e1f4-4366-964c-d88f3b8c0c01%2Ff096f2a0-7658-457d-a528-2c64827cd137%2Fadliorg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Tangent in Right Triangles**
**Section: What is tan(A)?**
To solve for the tangent of angle A in the given right triangle, observe the diagram below:
**Diagram Description:**
- The triangle is a right triangle with one angle labeled as A.
- The sides of the triangle are labeled: opposite to angle A is 3, adjacent to angle A is 2, and the hypotenuse is labeled as √5.
**Equation for Tangent:**
The formula for the tangent of angle A in a right triangle is given by:
\[
\text{tan}(A) = \frac{\text{opposite}}{\text{adjacent}}
\]
For this triangle, substitute the known side values:
\[
\text{tan}(A) = \frac{3}{2}
\]
**Rationalization Hint:**
The note accompanying the equation reminds you to "Remember to rationalize the denominator." This is an important step when dealing with irrational numbers in fractions.
**Submit Your Answer:**
Once you have calculated the value, you can input it and press "Enter" to submit.
**Note:**
Always ensure the denominator is rationalized in your final answer to adhere to proper mathematical conventions.
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