Tan(3/2x-pi)

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


D( x )

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

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

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

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

t_1 = pi*k_1+pi/2

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

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

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

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

x = 2/3*(t_1+pi)

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

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

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

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

t_1 = pi*k_1

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

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

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

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

x = 2/3*(t_1+pi)

x = 2/3*(pi*k_1+pi) i k_1 należy do I

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

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