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

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

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sin(x)=-2sin(x)

sin (x) = - 2 sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

sin (x) = - 2 sin (x)

Solve by substitution

sin (x) = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

19 cot^{2} (x) - 19 = 0

θ, 2 sin (θ) = csc (θ) + 1

sin^{2} (x) \cdot 2 cos (x) = 2

cos (θ) = \frac{20}{27}

32 cos (x) + 2 = - 1

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