Question 12 of 15, Step 1 of 1 Given that sin = Answer √72 and tane is negative, determine and tano. Enter the angle in degrees from the interval [0°, 360°). Write the exact answer. Do not round. 12 tano TE 9/15 Correct 0 Keypad Keyboard Shortcuts

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 12 of 15, Step 1 of 1**

Given that \( \sin \theta = \frac{\sqrt{72}}{12} \) and \( \tan \theta \) is negative, determine \( \theta \) and \( \tan \theta \). Enter the angle \( \theta \) in degrees from the interval \([0^\circ, 360^\circ)\). Write the exact answer. Do not round.

**Answer**

\[
\begin{array}{c}
\theta = \\
\tan \theta = \\
\end{array}
\]

Keypad and Keyboard Shortcuts available.

**Progress:**
- Score: 9 out of 15 correct.

**Submit Answer** button located below the input fields.

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Transcribed Image Text:**Question 12 of 15, Step 1 of 1** Given that \( \sin \theta = \frac{\sqrt{72}}{12} \) and \( \tan \theta \) is negative, determine \( \theta \) and \( \tan \theta \). Enter the angle \( \theta \) in degrees from the interval \([0^\circ, 360^\circ)\). Write the exact answer. Do not round. **Answer** \[ \begin{array}{c} \theta = \\ \tan \theta = \\ \end{array} \] Keypad and Keyboard Shortcuts available. **Progress:** - Score: 9 out of 15 correct. **Submit Answer** button located below the input fields. (Note: The image also contains various application icons and browser tabs that are not relevant to the educational content.)
Expert Solution
Step 1

Given: sinθ=7212and tanθ is negative. 

To find the values of θ and tanθ for θ[0°,360°).

 

In second quadrant, sinθ is positive and tanθ is negative. 

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