What is the Solution to the Equation (ArcSinx)^3+(ArcCosx)^3 = a?

  • Context: Undergrad 
  • Thread starter Thread starter hadi amiri 4
  • Start date Start date
hadi amiri 4
Messages
98
Reaction score
1
(ArcSinx)^3+(ArcCosx)^3=a
discuss on a:rolleyes:
 
Mathematics news on Phys.org
[tex]a = \frac{ \pi ( 6 \arcsin x - 3\pi )^2}{24} + \frac{3\pi^3}{96}[/tex]
 

Similar threads

Area under an inverse trigonometric function
  • · Replies 6 ·
Replies
6
Views
2K
Limit Calculation with L'Hospital's Rule: arctanx/arcsinx rigorously at x=0
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Geometry problem of interest with a 3-4-5 triangle
  • · Replies 59 ·
2
Replies
59
Views
230K
MHB Solve Equation: $x^4+2x^3-x^2-6x-3=0$
  • · Replies 7 ·
Replies
7
Views
2K
High School What does 2:3 ratio mean? What does it show?
  • · Replies 9 ·
Replies
9
Views
4K
Area & Centroid of Region Bounded by arcsinx & x=1/2
  • · Replies 4 ·
Replies
4
Views
2K
MHB -s6.6 solve exponential eq 3^x-14\cdot 3^{-x}=5
  • · Replies 1 ·
Replies
1
Views
1K
Reason if polynomials A, B and C exist s.t. they satisfy the following
  • · Replies 11 ·
Replies
11
Views
2K
Implicit differentition: inverse functions,can someone me with my working
  • · Replies 4 ·
Replies
4
Views
2K
MHB What is the value of (a+b)^3+(b+c)^3+(c+a)^3 for the roots of 8x^3+1001x+2008=0?
  • · Replies 2 ·
Replies
2
Views
1K