Question

I need help with this practice problem Read the writing above to see the instructions

Answer 1

From the unit circle:

we can see that angle

`(3\pi)/(4)=135\text{ degre}es`

so this angle is in the quadrant II.

The second angle

`(57\pi)/(8)=1282.5\text{ degre}es`

which is equivalent to

`202.5\text{ degre}es`

which is on quadrant III.

The next angle is

`\begin{gathered} (13\pi)/(6)=390\text{ degre}es \\ or\text{ equivalently} \\ 30\text{ degr}ees \end{gathered}`

which is on quadrant I.

The next angle is

`-(35\pi)/(6)=-1050\text{ degre}es`

which is equivalent to

`-330\text{ degre}es=30\text{ degre}es`

which is on quadrant I.

The next angle is

`-(5\pi)/(6)=-150\text{ degre}es`

which is on quadrant III.

And finally, the angle

`-(5\pi)/(11)=-81.81\text{ degre}es`

which is on quadrant IV

In summary, the answers are:

Quadrant I:

`(13\pi)/(6),-(35\pi)/(6),`

Quadrant II:

`(3\pi)/(4)`

Quadrant III:

`(57\pi)/(8),-(5\pi)/(6)`

Quadrant IV:

`-(5\pi)/(11)`