Question

Let x equals negative 31 times pi over 6 periodDetermine the reference angle of x

Answer 1

Given :

`x=-(31\pi)/(6)`
`\text{Substitute }\pi=180^o,\text{ we get }`

`x=-(31*180^o)/(6)`

`x=-31*30^o`

`x=-930^o`

`x=-930^o=-720-210`

`x=-930^o=-2*360-180-30`

After two full rotating, and 180 degrees, the angle is 30 degrees in 3 rd quadrant.

The reference angle is the angle that the given angle makes with the x-axis.

Hence the required reference angle is 30 degrees.