Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) cos = 24 25 tan 0 < 0 sin 0 = tan 0 = csc 8= sec 8= cot 0 =
Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) cos = 24 25 tan 0 < 0 sin 0 = tan 0 = csc 8= sec 8= cot 0 =
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
![**Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)**
\[ \cos \theta = \frac{24}{25}, \quad \tan \theta < 0 \]
1. **sin θ =** [Text Box]
2. **tan θ =** [Text Box]
3. **csc θ =** [Text Box]
4. **sec θ =** [Text Box]
5. **cot θ =** [Text Box]
In this task, fill in the boxes with the exact values for the sine, tangent, cosecant, secant, and cotangent functions of the angle θ, given that the cosine function of θ is \( \frac{24}{25} \) and the tangent function of θ is less than zero.
The provided information implies that θ is in the fourth quadrant because in this quadrant, cosine is positive, and tangent is negative.
**Steps to complete the task:**
1. Use the Pythagorean Identity \( \sin^2 \theta + \cos^2 \theta = 1 \) to determine the sine function.
2. Use the definitions of the trigonometric functions to find the remaining values.
**Note**:
"Undefined" answers should be entered as "UNDEFINED."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0e38307-1ade-44bc-b712-aaeda4c58098%2Fe1181006-9f59-4b51-ad4b-adb325db7d38%2F96rwpza_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)**
\[ \cos \theta = \frac{24}{25}, \quad \tan \theta < 0 \]
1. **sin θ =** [Text Box]
2. **tan θ =** [Text Box]
3. **csc θ =** [Text Box]
4. **sec θ =** [Text Box]
5. **cot θ =** [Text Box]
In this task, fill in the boxes with the exact values for the sine, tangent, cosecant, secant, and cotangent functions of the angle θ, given that the cosine function of θ is \( \frac{24}{25} \) and the tangent function of θ is less than zero.
The provided information implies that θ is in the fourth quadrant because in this quadrant, cosine is positive, and tangent is negative.
**Steps to complete the task:**
1. Use the Pythagorean Identity \( \sin^2 \theta + \cos^2 \theta = 1 \) to determine the sine function.
2. Use the definitions of the trigonometric functions to find the remaining values.
**Note**:
"Undefined" answers should be entered as "UNDEFINED."
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