Question

For an angle 136 degrees, find the following
find The reference angles in radians

Answer 1

`136` degrees is approximately
`2.373` in radiance.

`136` degrees is exactly
`(34 \pi)/(45)\\` in radiance.

Explanation:

Let
`r` be radiance.

Let
`d` be degrees (
`^(\circ)`).

Recall:

`d = (\pi)/(180)r \\`

Writing
`136` degrees in radiance:

`136d \\ 136d \cdot ((\pi)/(180)r)/(d) \\ 136 \cdot (\pi)/(180)r \\ (136 \pi)/(180)r \\ (34 \pi)/(45)r \\ 0.7\overline{5} \pi r`

`136` degrees is
`0.7\overline{5} \pi` in radiance. If we estimate
`\pi` to be
`3.14`,
`0.7\overline{5} \pi \approx 2.373`.

Answer 2

Explanation:

`radians = (2\pi)/(360) * 136`

`= (\pi)/(180) * 136`

`= (34\pi)/(45)`