V10 and 0 is in Quadrant I, what is tan(0)? Given that csc(0) = 3
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°.
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Question
![**Question**
Given that \( \csc(\theta) = \frac{\sqrt{10}}{3} \) and \( \theta \) is in Quadrant I, what is \( \tan(\theta) \)?
**Provide your answer below:**
\[
\tan(\theta) = \boxed{\phantom{answer}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36d5ec90-3e90-4c70-b991-d41b85e63237%2F11a5a241-1fdd-482e-8dff-bf0e9d227de4%2F71cgyps_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question**
Given that \( \csc(\theta) = \frac{\sqrt{10}}{3} \) and \( \theta \) is in Quadrant I, what is \( \tan(\theta) \)?
**Provide your answer below:**
\[
\tan(\theta) = \boxed{\phantom{answer}}
\]
Expert Solution
Step 1
Consider a right triangle ABC,
the function of an angle x is defined as the ratio between hypotenuse to the opposite side length.
it is given that so by comparing we get,
and
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