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I need help with this practice problem On the top of the picture is the instructions

I need help with this practice problem On the top of the picture is the instructions-example-1

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Recall that:

The terminal ray of the angle θ drawn in standard position lie in:

1) Quadrant I if:


0<\theta<(\pi)/(2)\text{.}

2) Quadrant II if:


(\pi)/(2)<\theta<\pi\text{.}

3) Quadrant III if:


\pi<\theta<(3\pi)/(2)\text{.}

4) Quadrant IV if:


(3\pi)/(2)<\theta<2\pi\text{.}

Also, recall that θ and θ+2πn (with n an integer) are equivalent angles.

Now, notice that:


\begin{gathered} (\pi)/(2)<(3\pi)/(4)<\pi, \\ (57\pi)/(8)\rightarrow(9)/(8)\pi\text{ and }(\pi)/(2)<(9\pi)/(8)<\pi, \\ (13)/(6)\pi\rightarrow(1)/(6)\pi\text{ and }0<(\pi)/(6)<(\pi)/(2), \\ -(35\pi)/(4)\rightarrow(5)/(4)\pi\text{ and }\pi<(5\pi)/(4)<(3\pi)/(2), \\ -(5)/(6)\pi\rightarrow(7\pi)/(6)\text{ and }\pi<(7\pi)/(6)<(3\pi)/(2), \\ -(5)/(11)\pi\rightarrow(17)/(11)\pi\text{ and }(3\pi)/(2)<(17\pi)/(11)<2\pi\text{.} \end{gathered}

Therefore the fulfilled table is:

Answer:

I need help with this practice problem On the top of the picture is the instructions-example-1
I need help with this practice problem On the top of the picture is the instructions-example-2
User Invictus
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