Answer
The given statement is false. The correct statement is “The equation \[\text{Cos 4}{{0}^{\circ }}=\frac{150}{c}\] cannot be solved for \[c\]by multiplying both sides by\[150\]”.
Work Step by Step
It is provided that \[\text{Cos 4}{{0}^{\circ }}=\frac{150}{c}\]
Multiply both sides by 150, we get:
\[150\times \text{Cos }40=\frac{150}{c}\times 150\]
Put the value of \[\text{Cos }40\]which is \[0.76604\]
We get,
\[\begin{align}
& 150\times 0.76604=\frac{22500}{c} \\
& 114.906=\frac{22500}{c}
\end{align}\]
On equating the equation, one may find that
\[L.H.S\ne R.H.S\]
