Converting degree into variable 'x'

  • Thread starter Thread starter L²Cc
  • Start date Start date
  • Tags Tags
    Degree Variable
AI Thread Summary
The discussion centers on converting the result of an integral, specifically 1/2¤ - 1/2sin2¤ + c, into a format using the variable x. The user successfully converted 1/2¤ to 1/2arcsinx but struggled with 1/2sin2¤, which should align with the textbook's answer of 1/2x(sqrt1-x²). The relationship sin2x = 2sinx.cosx is mentioned as relevant to the conversion. The user seeks clarification on how to complete the conversion accurately. The thread highlights the challenges of integrating trigonometric functions and converting between variable formats.
L²Cc
Messages
149
Reaction score
0

Homework Statement


After integrating x²/(sqrt1-x²) using the triangle method and thereby substituting sin¤ for x, I ended up with the result 1/2¤-1/2sin2¤+c. For my answer toge complete, I must have the ¤ in x format. I managed to convert the 1/2¤, which is simply 1/2arcsinx but I couldn't for 1/2sin2¤, my answer did not agree with the textbook's which read 1/2x(sqrt1-x²)...

My computer won't read latex at the moment so please excuse the amateur notation. Thank you.

Homework Equations


I think I covered it all above!
 
Physics news on Phys.org
sin2x = 2sinx.cosx
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Converting degree into 'x' (integration)
Replies
7
Views
2K
Solving Variable Change: Difficulties Understanding ##V(x)## & ##y##
Replies
2
Views
2K
Bound correlation coefficient for three random variables
Replies
3
Views
3K
Trigonometry- Converting from DMS to DD and rounding
Replies
4
Views
2K
What Steps Are Missing to Solve (2x+5)^(x+1)=729?
Replies
11
Views
3K
Solving a 3rd Degree Polynomial: What are the Options?
Replies
10
Views
3K
Solve Binomial Theorem Homework: Find Coefficients of Degree 17 & x7
Replies
15
Views
2K
Confirm Degree & Dominant Term of Polynomial Equation
Replies
9
Views
5K
Set Notation Question: Converting to Set Builder Notation | Homework Help
Replies
3
Views
2K
If x+(1/x) = 7. Compute x²+(1/x²) and x³+(1/x³)
Replies
14
Views
7K

Hot Threads

Recent Insights

Back
Top