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)

Algebra ->  Trigonometry-basics -> 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)      Log On


   

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(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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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 = %281%2F8%29%2Aarcsin%28y%2F%28-5%29%29 = %281%2F8%29%2Aarcsin%28-y%2F5%29 = -%281%2F8%29%2Aarcsin%28y%2F5%29, 

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