Tan(2x-pi/3)

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Solution for Tan(2x-pi/3) equation:


D( x )

cos(2*x-(pi/3)) = 0

cos(2*x-(pi/3)) = 0

cos(2*x-(pi/3)) = 0

cos(2*x-(pi/3)) = 0 <=> 2*x-(pi/3) = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

2*x-t_1-(pi/3) = 0

2*x-t_1-(pi/3) = 0 // + -t_1-(pi/3)

2*x = -(-t_1-(pi/3)) // : 2

x = (-(-t_1-(pi/3)))/2

x = (t_1+pi/3)/2

x = (pi*k_1+pi/2+pi/3)/2 i k_1 należy do I

x in {( -oo : +oo ) / < (pi*k_1+pi/2+pi/3)/2 : (pi*k_1+pi/2+pi/3)/2 >} i k_1 -> {I}

tan(2*x-(pi/3)) = 0

tan(2*x-(pi/3)) = 0 <=> 2*x-(pi/3) = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

2*x-t_1-(pi/3) = 0

2*x-t_1-(pi/3) = 0 // + -t_1-(pi/3)

2*x = -(-t_1-(pi/3)) // : 2

x = (-(-t_1-(pi/3)))/2

x = (t_1+pi/3)/2

x = (pi*k_1+pi/3)/2 i k_1 należy do I

x = (pi*k_1+pi/3)/2

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