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How would I solve this? Im having a lot of trouble. Thank you.Part A

How would I solve this? Im having a lot of trouble. Thank you.Part A-example-1
User Deusdeorum
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1 Answer

4 votes

Answer:

2.29 rad

Explanation:

The terminal arm of an angle in standard position passes through the point:


(-7,8)

For an angle in standard position, its angle in degrees:


\begin{gathered} \theta=\arctan\left((y)/(x)\right) \\ \implies\theta=\arctan\left((8)/(-7)\right)=-48.81 \end{gathered}

Since (-7, 8) is in Quadrant II:


\theta=180-48.81=131.19\degree

Finally, convert the result to radians:


\theta=131.19*(\pi)/(180)=2.29\text{ rad}

The radian value of the angle in the interval (0, 2π) correct to the nearest hundredth is 2.29 radians.

User Kallen
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