SOLUTION: Solve the equation for x, where x is restricted to the given interval. y = -5 sin 8x, for x in (-pi/16, pi/16)

Question 1043293: Solve the equation for x, where x is restricted to the given interval.
y = -5 sin 8x, for x in (-pi/16, pi/16)
Answer by ikleyn(52848) (Show Source): You can put this solution on YOUR website!
.
Solve the equation for x, where x is restricted to the given interval.
y = -5 sin 8x, for x in (-pi/16, pi/16)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solution does exist if and only if  |y| <= 5, i.e.  -5 <= y <= 5.


If it is satisfied then the solution is unique and it is

    x =  =  = , 

doesn't matter if "y" is positive or negative.

RELATED QUESTIONS
solve the equation for x, where x is restricted to the given interval. y = 7 sin x,... (answered by ikleyn)

I've been having some problems trying to solve this, sin(x+pi/4) + sin(x-pi/4) = 1 for (answered by lwsshak3)

solve the equation for x in terms of y if {{{0 (answered by Fombitz)
Find all solutions to the equation in the interval (0,2pi).... (answered by KMST,tommyt3rd)
solve the equation tan x = 1 for the given interval of x -pi/2 (answered by Fombitz)
solutions for the interval 0,2 pi... (answered by lwsshak3)
Please solve the equation sin*(2*x+(pi/3)) = 1/2 for x is [0,pi] Show... (answered by josmiceli)
Solve for x the equation: Arctan (pi X)= 5 -... (answered by stanbon)
solve the equation, tan x=1, for the given interval of x: -pi/2 < x < pi/2 i think it (answered by stanbon)