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Let theta equal -9 pi over four what is a coterminal angle of data such that zero is less than or equal to theta is less than or equal to two pi

Let theta equal 9 pi over four what is a coterminal angle of data such that zero is less than or equal to theta is less than or equal to two pi class=

Respuesta :

Given the angle:

[tex]\theta=-\frac{9\pi}{4}[/tex]

Let's find the coterminal angles such that 0 ≤ θ ≤ 2π.

To findtjh coterminal angles, we have:

[tex]\begin{gathered} -\frac{9\pi}{4}-2\pi \\ \\ =\frac{-9\pi-8\pi}{4}=-\frac{17}{4}\pi \end{gathered}[/tex][tex]\begin{gathered} 2\pi+\frac{9\pi}{4} \\ \\ \frac{8\pi+9\pi}{4} \\ \\ =\frac{17\pi}{4} \end{gathered}[/tex]

Therefore, the coterminal angles are:

[tex]-\frac{17\pi}{4},\frac{17\pi}{4},-\frac{9\pi}{4}[/tex]

ANSWER:

[tex]-\frac{17\pi}{4}, \frac{17\pi}{4}, -\frac{9\pi}{4}[/tex]

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