# 4 * sin(ϕ * 32)(A new theorem in development)

by greggory
Tags: development, sinϕ, theorem
What you seem to be doing is attempting to solve the equation 4 sin(x) = $\pi/4$. A solution to this equation is x = sin-1($\pi/4$) ≈ .903339 radians ≈ 51.75°.
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,533 It is true that, for x measured in radians, $\lim_{x\to 0}sin(x)/x= 1$. That is, for x very close to 0, sin(x) will be very close to x. Once you get up to things like 45 degrees, which is equivalent to $\pi/4$ radians, they are still "close" but not "very close". The farther from 0 you get, the farther apart those get.