Trigonometry-explaining how to solve sin(5x-pi/4)

| August 30, 2017

Question
explaining how to solve sin(5x-pi/4) = -1
this is what I have gotten but I think I am wrong:
sin(5x) = -1 – pi/4
sin(5x)= -(4pi/4) – (pi/4)
sin(5x) = -(5pi/4)
5x = sin^-1 (-5pi/4) —> -(-sqrt2/2)
5x = sqrt2/2
x = (sqrt2/2)/5
x = (sqrt2/10)

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