Finding Coterminal Angle

[murtuza]

Answer the following.

(a) Find an angle between \(\displaystyle \, 0\,\) radians and \(\displaystyle \, 2\pi\, \) radians that is coterminal with \(\displaystyle \, -19\pi 10.\)

(b) Find an angle between 0° and 360° that is coterminal with 810°.

Need a little help. I am understanding on the concept, but just not quite there yet. It'd be awesome if you guys can work out both of these.

 

[Deleted member 4993]

Answer the following.

(a) Find an angle between \(\displaystyle \, 0\,\) radians and \(\displaystyle \, 2\pi\, \) radians that is coterminal with \(\displaystyle \, -19\pi 10.\)

(b) Find an angle between 0° and 360° that is coterminal with 810°.

Need a little help. I am understanding on the concept, but just not quite there yet. It'd be awesome if you guys can work out both of these.

Can you please define "co-terminal angle" for us?

 

[stapel]

(a) Find an angle between \(\displaystyle \, 0\,\) radians and \(\displaystyle \, 2\pi\, \) radians that is coterminal with \(\displaystyle \, -19\pi 10.\)

What does your text mean by the number "\(\displaystyle \, -19\pi 10\,\)"? :shock:

(b) Find an angle between 0° and 360° that is coterminal with 810°.

Need a little help. I am understanding on the concept....

If you understand what they're talking about, then where are you getting stuck? For instance, you understand that it's 360 degrees for once around the circle. You understand that every once-around puts you back at the starting point, so you can start again from zero, if you like. You understand that they're asking you to find the smallest angle that ends at the same point as does the given angle of 810 degrees. You know you can subtract (or add) whole once-arounds from (or to) the given angle and end up at exactly the same place. And... then what?

Please be complete. Thank you!