Is there a real number pair (x, y) so that SiNx = cosy and arcsinx = arccosy hold simultaneously? Why?

non-existent!
if necessary
Arcsinx = arccosy, then:
(note the range of the two
You need 0 = 1,
So there is no one who meets these two conditions at the same time!

RELATED INFORMATIONS

1. What are the possibilities of angle XY satisfying cosx * cosy SiNx * siny = 1 / 2
2. If real numbers x and y satisfy x · x + XY + y = 14 and Y · y + XY + x = 28, then the value of X + y is equal to
3. Let xy-e ^ xy = e find dy / DX Is it = - Y / x?
4. Given the equation xy-e & # 710; 2x = siny, determine the implicit function y = y (x), and find dy / DX Please give the specific steps!
5. Solving the equation dy / DX + 2XY = 4x ...
6. Please explain the topic of dy / DX to me How do dy / dt and DX / dt form
7. Given dy / DX = Y / 2x-x / 2Y (y = 0 when x = a), the original equation is solved
8. Derived from (DX) / (Dy) = 1 / y ': (d ^ 2x) / (Dy ^ 2) = - y' '/ (y') ^ 3 rt In addition, what does "d" mean here? Tongji 6 p.90 suddenly comes out with the derivative function expressed by D, and the concept of "d" has not been explicitly put forward What about (d ^ 3) x / D (y ^ 3)
9. Finding the solution of dy / DX = 1 / (2x-y ^ 2)
10. Find the general solution of the differential equation. Dy / dx-3xy = X
11. If x and y are real numbers and SiNx * cosy = 1, then cos (x + y)=
12. Y (x + y + 1) DX + (x + 2Y) dy = 0: solve by exact equation
13. Given dy / DX = 2XY ^ 2, find the general solution Find ∫ DX / y ^ 2
14. Commutative integral order ∫ (4,0) DX ∫ (x, 2x ^ 0.5) f (x, y) dy
15. General solution of calculus equation x * dy / DX = ylny / X
16. Find the general solution of calculus dy / DX = 1 + X + y ^ 2 + X * y ^ 2, y ^ 2 represents the square of Y
17. General solution of calculus dy / DX = 1 + X most urgent!
18. General solution of (1 + y) DX - (1-x) dy = 0
19. dy/dx=1+x+y^2+xy^2
20. dy/dx=(x+y^3)/xy^2