Question

use the fact that there are 2pi radians in each circle to find another angle, smaller than 2pi, that is equivalent to 17pi/6. Show steps please

Answer 1

we are given angle as

`\theta=(17\pi)/(6)`

we can write it as

`\theta=(12\pi+5\pi)/(6)`

now, we can break it

`\theta=(12\pi)/(6)+(5\pi)/(6)`

On simplifying

`\theta=2\pi +(5\pi)/(6)`

we know all angles repeats itself after 2pi

so,

`2\pi + \theta= \theta`

so, we get

`\theta=(5\pi)/(6)`...............Answer