Question 284047
Let x = unknown angle


Since adding {{{2pi}}} radians to 'x' radians gets us {{{9pi/4}}} radians, this means that {{{x+2pi=9pi/4}}}



{{{x+2pi=9pi/4}}} Start with the given equation.



{{{x=9pi/4-2pi}}} Subtract {{{2pi}}} from both sides.



{{{x=9pi/4-8pi/4}}} Multiply {{{2pi}}} by {{{4/4}}}



{{{x=(9pi-8pi)/4}}} Combine the fractions.



{{{x=pi/4}}} Subtract.



So if you add {{{2pi}}} radians to {{{pi/4}}} radians, you will get {{{9pi/4}}} radians.