It is proved that the equation x = asinx + B, where a > 0, b > 0, has at least one positive root, and it does not exceed a + B

It is proved that the equation x = asinx + B, where a > 0, b > 0, has at least one positive root, and it does not exceed a + B

Let f (x) = x - asinx - B
f(0) = -b < 0 f(a+b) = a(1-sinx) >= 0
The conclusion can be obtained from the above formula + zero point theorem
The conclusion can be drawn from the above formula