Question

Which final answer results after replacing \[v=\frac{y}{x}\] in \[\sin v=\ln|Cx|\]?

Options

• \[\frac{y}{x}=\ln|Cx|\]

• \[\sin\left(\frac{x}{y}\right)=\ln|Cy|\]

• \[\cos\left(\frac{y}{x}\right)=\ln|Cx|\]

• \[\sin\left(\frac{y}{x}\right)=\ln|Cx|\]

Answer 1

The substitution \[y=vx\] means \[v=\frac{y}{x}\]. Replacing \[v\] in \[\sin v=\ln|Cx|\] gives \[\sin\left(\frac{y}{x}\right)=\ln|Cx|\].