draw the terminal side of an angle in standard position that measures $-2\\pi$ radians.\nhint: first plot a…

draw the terminal side of an angle in standard position that measures $-2\\pi$ radians.\nhint: first plot a point at the origin, then plot a second point anywhere on the terminal side.\nanswer the following in radians. the $\\pi$ is already given.\nfind a nonnegative angle that is coterminal. $\\pi$\nfind a negative angle that is coterminal. $\\pi$\nquestion help: ebook message instructor

draw the terminal side of an angle in standard position that measures $-2\\pi$ radians.\nhint: first plot a point at the origin, then plot a second point anywhere on the terminal side.\nanswer the following in radians. the $\\pi$ is already given.\nfind a nonnegative angle that is coterminal. $\\pi$\nfind a negative angle that is coterminal. $\\pi$\nquestion help: ebook message instructor

Answer

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are given by (\theta + 2k\pi), where (k\in\mathbb{Z})

Step2: Find a non - negative coterminal angle

Let (k = 1). Then (\theta=- 2\pi+2\pi\times1) [ \begin{align*} -2\pi + 2\pi&=0\pi \end{align*} ]

Step3: Find a negative coterminal angle

Let (k=-1). Then (\theta=-2\pi+2\pi\times(-1)) [ \begin{align*} -2\pi-2\pi&=-4\pi \end{align*} ]

Answer:

Non - negative coterminal angle: (0\pi) Negative coterminal angle: (-4\pi)