Find an angle theta coterminal to 1092^(@), where 0^(@) <= theta < 360^(@). Answer:

Understand coterminal angles: Understand what a coterminal angle is. Coterminal angles are angles that share the same initial and terminal sides but differ in the number of rotations. To find a coterminal angle, we can add or subtract multiples of 360° (a full rotation) from the given angle.Subtract multiples of 360°: Subtract multiples of 360° from 1092° until the result is between 0° and 360°. 1092° - 360° = 732° 732° is still greater than 360°, so we subtract 360° again. 732° - 360° = 372° 372° is still greater than 360°, so we subtract 360° one more time. 372° - 360° = 12° 12° is between 0° and 360°, so it is a coterminal angle to 1092°.Verify result in range: Verify that the result is within the required range. Since 12° is greater than or equal to 0° and less than 360°, it satisfies the condition for the coterminal angle.

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Find an angle
theta coterminal to
1092^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $1092^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Algebra 2

Find trigonometric ratios using reference angles

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Q. Find an angle

\theta

coterminal to

1092^{\circ}

, where

0^{\circ} \leq \theta<360^{\circ}

\newline

Answer:

Understand coterminal angles: Understand what a coterminal angle is. $\newline$ Coterminal angles are angles that share the same initial and terminal sides but differ in the number of rotations. To find a coterminal angle, we can add or subtract multiples of $360^\circ$ (a full rotation) from the given angle.
Subtract multiples of $360°$ : Subtract multiples of $360°$ from $1092°$ until the result is between $0°$ and $360°$ . $\newline$ $1092° - 360° = 732°$ $\newline$ $732°$ is still greater than $360°$ , so we subtract $360°$ again. $\newline$ $732° - 360° = 372°$ $\newline$ $360°$ $0$ is still greater than $360°$ , so we subtract $360°$ one more time. $\newline$ $360°$ $3$ $\newline$ $360°$ $4$ is between $0°$ and $360°$ , so it is a coterminal angle to $1092°$ .
Verify result in range: Verify that the result is within the required range. $\newline$ Since $12^\circ$ is greater than or equal to $0^\circ$ and less than $360^\circ$ , it satisfies the condition for the coterminal angle.