What is the general solution for -4sin(x)=4(sin(x)-1) ?

The general solution for -4sin(x)=4(sin(x)-1) is x= pi/6+2pin,x=(5pi)/6+2pin

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-4sin(x)=4(sin(x)-1)

- 4 sin (x) = 4 (sin (x) - 1)

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

- 4 sin (x) = 4 (sin (x) - 1)

Solve by substitution

sin (x) = \frac{1}{2}

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Combine all the solutions

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

\frac{3}{tan ( x )} = (2 tan (x)) (2 cos (x))

cos (θ) = - \frac{4}{5}, sin (θ)

5 sin (4 x) = 4 cos (2 x)

arccosh (x) = 1

θ, sin (3 θ) = \frac{1}{2}

What is the general solution for -4sin(x)=4(sin(x)-1) ?
The general solution for -4sin(x)=4(sin(x)-1) is x= pi/6+2pin,x=(5pi)/6+2pin