Answer to Question #287500 in Physics for Nard

Question

How does the ideal mechanical

advantage (IMA) of an inclined plane vary

with the angle 𝜃 of the plane; that is, what

trigonometric function of 𝜃 gives the value

of IMA?

Answer 1

$IMA=\dfrac{L}{H}=\dfrac{L}{L\sin\theta}=\dfrac 1{\sin\theta}=\csc\theta.$

This trigonometric function is cosecans.