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Solve for k
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\sin(2x)=kx
Multiply both sides of the equation by x.
kx=\sin(2x)
Swap sides so that all variable terms are on the left hand side.
xk=\sin(2x)
The equation is in standard form.
\frac{xk}{x}=\frac{\sin(2x)}{x}
Divide both sides by x.
k=\frac{\sin(2x)}{x}
Dividing by x undoes the multiplication by x.