2sin(2x)/2sin(x)

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Solution for 2sin(2x)/2sin(x) equation:


x in (-oo:+oo)

((2*sin(2*x))/2)*sin(x) = 0

(2*sin(2*x))/2 = 0

(2*sin(2*x))/2 = 0 // * 2

2*sin(2*x) = 0

sin(2*x) = 0

sin(2*x) = 0 <=> 2*x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

2*x-t_1 = 0

2*x-t_1 = 0 // + t_1

2*x = t_1 // : 2

x = t_1/2

x = pi*k_1/2 i k_1 należy do I

2*sin(2*x) = 0 <=> 2 = 0 or 2*sin(2*x) = 0 <=> sin(2*x) = 0

sin(x) = 0

sin(x) = 0 <=> x = pi*k_2 i k_2 należy do I

t_2 = pi*k_2

x-t_2 = 0

x-t_2 = 0 // + t_2

x = t_2

x = pi*k_2 i k_2 należy do I

((2*sin(2*x))/2)*sin(x) = 0 <=> (2*sin(2*x))/2 = 0 or ((2*sin(2*x))/2)*sin(x) = 0 <=> sin(x) = 0

x in { pi*k_1/2, pi*k_2 }

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