Find an angle theta coterminal to 913^(@), 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 may differ by any number of full rotations (360°). To find a coterminal angle to 913° that lies between 0° and 360°, we need to subtract or add multiples of 360° until the angle falls within the desired range.Subtract multiples of 360°: Subtract multiples of 360° from 913° until the result is between 0° and 360°. 913° - 360° = 553° 553° is still greater than 360°, so we subtract 360° again. 553° - 360° = 193° 193° is still greater than 360°, so we subtract 360° one more time. 193° - 360° = -167° Since we are looking for a positive angle, we add 360° to -167°. -167° + 360° = 193°

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

Find an angle $\theta$ coterminal to $913^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Algebra 2

Find trigonometric ratios using reference angles

Full solution

Q. Find an angle

\theta

coterminal to

913^{\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 may differ by any number of full rotations ( $360^\circ$ ). To find a coterminal angle to $913^\circ$ that lies between $0^\circ$ and $360^\circ$ , we need to subtract or add multiples of $360^\circ$ until the angle falls within the desired range.
Subtract multiples of $360$ °: Subtract multiples of $360$ ° from $913°$ until the result is between $0°$ and $360°$ . $\newline$ $913° - 360° = 553°$ $\newline$ $553°$ is still greater than $360°$ , so we subtract $360°$ again. $\newline$ $553° - 360° = 193°$ $\newline$ $193°$ is still greater than $360°$ , so we subtract $360°$ one more time. $\newline$ $0°$ $1$ $\newline$ Since we are looking for a positive angle, we add $360°$ to $0°$ $3$ . $\newline$ $0°$ $4$