2cos(3x)/cos(x)

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Solution for 2cos(3x)/cos(x) equation:


D( x )

cos(x) = 0

cos(x) = 0

cos(x) = 0

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

t_1 = pi*k_1+pi/2

x-t_1 = 0

x-t_1 = 0 // + t_1

x = t_1

x = pi*k_1+pi/2 i k_1 należy do I

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

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

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

2*cos(3*x) = 0

cos(3*x) = 0

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

t_1 = pi*k_1+pi/2

3*x-t_1 = 0

3*x-t_1 = 0 // + t_1

3*x = t_1 // : 3

x = t_1/3

x = pi*k_1+pi/2/3 i k_1 należy do I

2*cos(3*x) = 0 <=> 2 = 0 or 2*cos(3*x) = 0 <=> cos(3*x) = 0

x = pi*k_1+pi/2/3

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