I have seen many times that for small angles sinθ≈θ, i want to know for how small value?

Question

and i think the value is less than 1 right? certainly sin1 ≠ 1. here units i used are degrees.

In: 6

Answer 1

Firstly, you need to be in radians. Sin x ≠ x if x is in degrees. Second, the approximation gets better for smaller angles, so the point where it becomes acceptable will depend on how much accuracy you need. Sin(1) = 0.84, which might be ok, depending what you need it for. Sin(0.5) = 0.47 is pretty good. Sin(0.1) = 0.0999 which is basically equal for most purposes