What is tan(-5)? [?]
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
Hey what’s the answer to this
![### Question: What is \(\tan\left(-\frac{5\pi}{4}\right)\)?
Below this question, there is a box highlighted in green with a question mark `[ ? ]`, indicating where the answer should be input. Beneath this, there is a text entry field with a button labeled "Enter" next to it.
### Diagram/Graph Explanation
There are no additional graphs or diagrams included in this image.
For reference:
- The question \(\tan\left(-\frac{5\pi}{4}\right)\) is asking for the tangent of \(-\frac{5\pi}{4}\) radians.
- Recall that the tangent function is periodic with a period of \(\pi\), meaning \(\tan(\theta) = \tan(\theta + n\pi)\) for any integer \(n\).
- Also, \(\tan(-\theta) = -\tan(\theta)\).
For educational purposes, students might solve this by converting the angle \(-\frac{5\pi}{4}\) to a positive angle within the first \(2\pi\) radians or using the properties of the tangent function.
Note: Ensure to enter the precise trigonometric value or simplified fractional value, as required by the instructions on the platform.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59dc451e-d6f8-4dd4-9faf-549af2b24cc3%2F2ed97a33-b4fa-4403-bf91-c0060e8ec754%2Ff1j9ugl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question: What is \(\tan\left(-\frac{5\pi}{4}\right)\)?
Below this question, there is a box highlighted in green with a question mark `[ ? ]`, indicating where the answer should be input. Beneath this, there is a text entry field with a button labeled "Enter" next to it.
### Diagram/Graph Explanation
There are no additional graphs or diagrams included in this image.
For reference:
- The question \(\tan\left(-\frac{5\pi}{4}\right)\) is asking for the tangent of \(-\frac{5\pi}{4}\) radians.
- Recall that the tangent function is periodic with a period of \(\pi\), meaning \(\tan(\theta) = \tan(\theta + n\pi)\) for any integer \(n\).
- Also, \(\tan(-\theta) = -\tan(\theta)\).
For educational purposes, students might solve this by converting the angle \(-\frac{5\pi}{4}\) to a positive angle within the first \(2\pi\) radians or using the properties of the tangent function.
Note: Ensure to enter the precise trigonometric value or simplified fractional value, as required by the instructions on the platform.
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