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`Science & Mathema1ics > M athematics
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`F(x,y, t) = (w2pi(v*t + x IN)+h)mod 2pi In this equation, what is
`~ the meaning of 'mod 2pi'? *
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`Best Answer
`Too Much Information answe·ed 6 years ago
`
`It means 'modulo 2p i•.
`
`Modulll! ~ithmetic is Just like when you have the time on a clock, whon the hou r hand has gone an the way
`I'Ound it starts back at one. '11\b can w rite this as
`t3 = 1 (mod 12)
`14 = 2 (mod 12)
`22 :
`t O(mod 12)
`23:t t (mod 12)
`24 = O(mod 12)
`25 = 1 (mod 12)
`etc.
`
`You can also th.ink of it as the femalndet whon dividing by the modulus.
`E.g. When dividing 138 by 12you get a q uotiont of 11 (because 11 x 12 = 132) and a temalndct o f Sso 138 = 6
`(mod 12).
`
`So In the formula you have gNen, (w'2pi(v•t + x / N)+h) mod 2pi means the tel'l'\il!nd et when d lvid hg (w2p!(v•t + x
`IN)+h) by 2pl.
`
`If Os: x s: 21)1, solve the equation 2 (cos x + I}=
`1?
`
`HOW TO SOLVE FOR X FROM (0,2p~
`EQUATION: sln2x·cos3x=0?
`
`Solve the equation cos"2x·sin"2x= ·cosx,
`1l<J«2pl?
`
`Solve the equation fof 0<X<2pi?
`Solve (slnx)A4 + (cos x)"4 = 518 fof x fi'Om p,
`2pl)?
`
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`'U'·'id·ti
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`e.g. if (vt2p i(v•t + x /N)+h) works out to be 7pl
`{w2pi(V"I + X IN)+h) mod 2p l = pi
`Because 7pl = 3 x (2p~ + pi
`
`•• 0
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