7. Find the exact value for each of the following: [You may want to sketch pictures to help show your work and make sure your answer falls within the domain and range of the given function.] a) arcsin(sin(-)) b) sin(tan-15)
7. Find the exact value for each of the following: [You may want to sketch pictures to help show your work and make sure your answer falls within the domain and range of the given function.] a) arcsin(sin(-)) b) sin(tan-15)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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only need help with #7
![## Polynomial and Trigonometric Function Problems
### 6. Find a possible equation for the polynomial function, \( y = P(x) \). (Equation may be in "factored" form)
**[Graph Explanation]:**
The provided graph depicts a polynomial function \( y = P(x) \) with notable x-intercepts and turning points. The x-intercepts occur approximately at \( x = -3 \), \( x = -1 \), \( x = 1 \), and \( x = 3 \). The graph demonstrates a smooth curve crossing the x-axis at these points and has local maxima and minima between them.
### 7. Find the exact value for each of the following:
**[You may want to sketch pictures to help show your work and make sure your answer falls within the domain and range of the given function.]**
#### a) \( \arcsin(\sin(-\frac{3\pi}{5})) \)
#### b) \( \sin(\tan^{-1} 5) \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff62d5ca7-5439-4cfe-bb83-29d1381eaedb%2F4c8e95c8-5cea-437e-b523-5aa01c6a01b3%2Fhsw5yz_processed.png&w=3840&q=75)
Transcribed Image Text:## Polynomial and Trigonometric Function Problems
### 6. Find a possible equation for the polynomial function, \( y = P(x) \). (Equation may be in "factored" form)
**[Graph Explanation]:**
The provided graph depicts a polynomial function \( y = P(x) \) with notable x-intercepts and turning points. The x-intercepts occur approximately at \( x = -3 \), \( x = -1 \), \( x = 1 \), and \( x = 3 \). The graph demonstrates a smooth curve crossing the x-axis at these points and has local maxima and minima between them.
### 7. Find the exact value for each of the following:
**[You may want to sketch pictures to help show your work and make sure your answer falls within the domain and range of the given function.]**
#### a) \( \arcsin(\sin(-\frac{3\pi}{5})) \)
#### b) \( \sin(\tan^{-1} 5) \)
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