Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 5 cos(e) sin(6) + 3 cos(0) = 0
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 5 cos(e) sin(6) + 3 cos(0) = 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Sure! Here's the transcription suitable for an educational website:
---
**Solve the given equation.**
(Enter your answers as a comma-separated list. Let \( k \) be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
\[ 5 \cos(\theta) \sin(\theta) + 3 \cos(\theta) = 0 \]
\[
\theta = \, \boxed{\phantom{answer}}
\]
---
*Explanation:*
The equation given is a trigonometric equation involving both sine and cosine functions. To solve this, you should consider factoring out common terms and finding potential angles \(\theta\) that satisfy the equation. Remember to specify solutions within the given constraints using the general integer \( k \) as applicable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec6c9288-bb27-4eba-8128-b494cc0df2f0%2F19807f89-34ed-4b59-80e2-14fcf3fdfb0a%2Fybkqbar_processed.png&w=3840&q=75)
Transcribed Image Text:Sure! Here's the transcription suitable for an educational website:
---
**Solve the given equation.**
(Enter your answers as a comma-separated list. Let \( k \) be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
\[ 5 \cos(\theta) \sin(\theta) + 3 \cos(\theta) = 0 \]
\[
\theta = \, \boxed{\phantom{answer}}
\]
---
*Explanation:*
The equation given is a trigonometric equation involving both sine and cosine functions. To solve this, you should consider factoring out common terms and finding potential angles \(\theta\) that satisfy the equation. Remember to specify solutions within the given constraints using the general integer \( k \) as applicable.
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