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solve -3cos(-3x+a)=0

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josefiina | Student, Undergraduate | eNotes Newbie

Posted June 29, 2011 at 12:09 AM via web

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solve -3cos(-3x+a)=0

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted November 30, 2011 at 2:26 AM (Answer #1)

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-3cos(-3x+a) = 0

Divide by -3 => cos(-3x+a) = 0

The cosine function is cancelling out if `-3x+a = +-pi/2`

Solve `-3x+a = +pi/2gt -3x =pi/2 - a =gt x = -pi/6 + a/3`

Solve `-3x+a = -pi/2gt -3x =-pi/2 - a =gt x = pi/6 + a/3`

The solutions of equation depend on the parameter a: `x =a/3 - pi/6; x = pi/6 + a/3`

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