Question

find a positive angle less than 2π that is coterminal with the given angle.

-π/130

a positive angle less than 2π that is coterminal with -π/130 is \boxed{}.
(simplify your answer. type your answer in terms of π. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Add 2π to the given angle

$$-\frac{\pi}{130} + 2\pi = -\frac{\pi}{130} + \frac{260\pi}{130}$$

Step2: Calculate the sum

$$\frac{-π + 260π}{130} = \frac{259π}{130}$$

Answer:

$$\frac{259\pi}{130}$$