V3 csc 0 + 8 = 6
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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![**Problem Statement:**
Solve the equation for \( \theta \) if \( 0^\circ \leq \theta < 360^\circ \). (Enter your answers as a comma-separated list.)
\[ \sqrt{3} \, \text{csc} \, \theta + 8 = 6 \]
\[ \theta = \]
[Input Box]
**Explanation:**
You are asked to find the values of \( \theta \) that satisfy the given trigonometric equation, where the angle \( \theta \) is within the specified range of 0 degrees to less than 360 degrees.
1. **Equation Breakdown:**
- The equation involves the cosecant function, which is the reciprocal of the sine function.
- Simplify the equation to isolate \( \text{csc} \, \theta \).
- Solve for \( \theta \) and list all possible solutions within the given range.
2. **Instructions for Solution:**
- Begin by rearranging and simplifying the equation.
- Remember that the range of \( \theta \) is a full circle, so consider all possible angles.
3. **Important Considerations:**
- Mind the restrictions for the cosecant function, where it is undefined when sine is zero.
- Make sure to provide all possible angles that satisfy the equation, within the given degrees.
**Note:** A red "X" near the input box indicates an incorrect answer was previously entered. Double-check calculations and ensure to follow all mathematical steps accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c54f557-93c9-4b59-abe5-ea6e1fac8442%2F76e3dad6-813f-43b3-846b-fe8c5510c339%2F9xof20l_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Solve the equation for \( \theta \) if \( 0^\circ \leq \theta < 360^\circ \). (Enter your answers as a comma-separated list.)
\[ \sqrt{3} \, \text{csc} \, \theta + 8 = 6 \]
\[ \theta = \]
[Input Box]
**Explanation:**
You are asked to find the values of \( \theta \) that satisfy the given trigonometric equation, where the angle \( \theta \) is within the specified range of 0 degrees to less than 360 degrees.
1. **Equation Breakdown:**
- The equation involves the cosecant function, which is the reciprocal of the sine function.
- Simplify the equation to isolate \( \text{csc} \, \theta \).
- Solve for \( \theta \) and list all possible solutions within the given range.
2. **Instructions for Solution:**
- Begin by rearranging and simplifying the equation.
- Remember that the range of \( \theta \) is a full circle, so consider all possible angles.
3. **Important Considerations:**
- Mind the restrictions for the cosecant function, where it is undefined when sine is zero.
- Make sure to provide all possible angles that satisfy the equation, within the given degrees.
**Note:** A red "X" near the input box indicates an incorrect answer was previously entered. Double-check calculations and ensure to follow all mathematical steps accurately.
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