What is the general solution for 2sin(2x)=sin(2x) ?

The general solution for 2sin(2x)=sin(2x) is x=pin,x= pi/2+pin

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2sin(2x)=sin(2x)

2 sin (2 x) = sin (2 x)

x = πn, x = \frac{π}{2} + πn

Solution steps

2 sin (2 x) = sin (2 x)

Solve by substitution

sin (2 x) = 0

sin (2 x) = 0 : x = πn, x = \frac{π}{2} + πn

Combine all the solutions

x = πn, x = \frac{π}{2} + πn

- 3 sin (2 x) = cos (2 x)

x, - sin (x) - cos (x) = 0

cos (2 θ) = (\frac{57}{11})

sin (x) cos (x^{2}) = sin (x), 0 \leq x \leq 2 π

θ, \frac{cos ( θ )}{sin ( θ )} = - \frac{π}{6}

What is the general solution for 2sin(2x)=sin(2x) ?
The general solution for 2sin(2x)=sin(2x) is x=pin,x= pi/2+pin