Find sec- (2.4) in degrees. Answer:
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
![### Problem Statement
Find sec<sup>-1</sup>(2.4) in degrees.
### Solution
To find the value of sec<sup>-1</sup>(2.4) in degrees, follow these steps:
1. **Understand the Relation**: The secant function, sec(θ), is the reciprocal of the cosine function, so sec(θ) = 1/cos(θ). Therefore, sec<sup>-1</sup>(2.4) corresponds to finding the angle θ for which cos(θ) = 1/2.4.
2. **Calculate Cosine**: Compute the cosine value:
\[
\cos(θ) = \frac{1}{2.4}
\]
3. **Calculate the Angle**: Use a calculator or mathematical table to find the angle θ such that cos(θ) equals the calculated value. Ensure the calculator is set to degree mode if angles in degrees are needed.
4. **Output the Answer**: Once the angle is calculated, write down the value as the solution.
### Enter Answer
Input the calculated angle in the textbox below labeled "Answer."
**Note**: Calculation will require the use of a calculator with inverse trigonometric functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28764828-4d1c-44b8-9544-7d79c8b69e6b%2F885b9846-657e-4102-9fa2-2a5162607b49%2Fdov2k7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Find sec<sup>-1</sup>(2.4) in degrees.
### Solution
To find the value of sec<sup>-1</sup>(2.4) in degrees, follow these steps:
1. **Understand the Relation**: The secant function, sec(θ), is the reciprocal of the cosine function, so sec(θ) = 1/cos(θ). Therefore, sec<sup>-1</sup>(2.4) corresponds to finding the angle θ for which cos(θ) = 1/2.4.
2. **Calculate Cosine**: Compute the cosine value:
\[
\cos(θ) = \frac{1}{2.4}
\]
3. **Calculate the Angle**: Use a calculator or mathematical table to find the angle θ such that cos(θ) equals the calculated value. Ensure the calculator is set to degree mode if angles in degrees are needed.
4. **Output the Answer**: Once the angle is calculated, write down the value as the solution.
### Enter Answer
Input the calculated angle in the textbox below labeled "Answer."
**Note**: Calculation will require the use of a calculator with inverse trigonometric functions.
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