Determine the angle between 0 and 2pi that is coterminal to 930^(@). [5.01] A. 4pi//3 B. 7pi//6 C. 2pi//3 D. 11 pi//6

Understand coterminal angles: Understand the concept of coterminal angles. Coterminal angles are angles that share the same initial and terminal sides but may differ by any number of full rotations. To find an angle coterminal to a given angle, we can add or subtract multiples of 360° (or 2π radians) from the given angle.Convert to radians: Convert 930° to radians to work with π. Since 180° is equivalent to π radians, we can use the conversion factor to change 930° to radians. 930° * (π/180°) = 5π radians.Find coterminal angle: Find the coterminal angle between 0 and 2π. Since 5π is more than 2π, we need to subtract multiples of 2π until we get an angle that is between 0 and 2π. 5π - 2π = 3π, which is still more than 2π. Subtract another 2π: 3π - 2π = π, which is between 0 and 2π. However, we made a mistake in the conversion in Step 2. We should correct that before proceeding.

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Determine the angle between $0$ and $2\pi$ that is coterminal to $930^{\circ}$ . $\newline$ $5.01$ $\newline$ A. $\frac{4\pi}{3}$ $\newline$ B. $\frac{7\pi}{6}$ $\newline$ C. $\frac{2\pi}{3}$ $\newline$ D. $\frac{11\pi}{6}$

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Grade 8

Identify equivalent linear expressions: word problems

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Q. Determine the angle between

0

and

2\pi

that is coterminal to

930^{\circ}

\newline

5.01

\newline

\frac{4\pi}{3}

\newline

\frac{7\pi}{6}

\newline

\frac{2\pi}{3}

\newline

\frac{11\pi}{6}

Understand coterminal angles: Understand the concept of coterminal angles. Coterminal angles are angles that share the same initial and terminal sides but may differ by any number of full rotations. To find an angle coterminal to a given angle, we can add or subtract multiples of $360^\circ$ (or $2\pi$ radians) from the given angle.
Convert to radians: Convert $930°$ to radians to work with $\pi$ . $\newline$ Since $180°$ is equivalent to $\pi$ radians, we can use the conversion factor to change $930°$ to radians. $\newline$ $930° \times (\pi/180°) = 5\pi$ radians.
Find coterminal angle: Find the coterminal angle between $0$ and $2\pi$ . Since $5\pi$ is more than $2\pi$ , we need to subtract multiples of $2\pi$ until we get an angle that is between $0$ and $2\pi$ . $5\pi - 2\pi = 3\pi$ , which is still more than $2\pi$ . Subtract another $2\pi$ : $2\pi$ $0$ , which is between $0$ and $2\pi$ . However, we made a mistake in the conversion in Step $2$ . We should correct that before proceeding.