Find an angle theta coterminal to -253^(@), where 0^(@) <= theta < 360^(@). Answer:

Add 360 degrees: To find a coterminal angle, we can add or subtract multiples of 360 degrees (a full circle) to the given angle until the result is within the desired range of 0 to 360 degrees.Find positive coterminal angle: Since -253 degrees is negative, we will add 360 degrees to it to find a positive coterminal angle. -253 degrees + 360 degrees = 107 degreesCheck within range: Now we check if 107 degrees is within the range of 0 to 360 degrees. 0 degrees <= 107 degrees < 360 degrees This is true, so 107 degrees is a coterminal angle to -253 degrees within the specified range.

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Find an angle
theta coterminal to
-253^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $-253^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Precalculus

Coterminal and reference angles

Full solution

Q. Find an angle

\theta

coterminal to

-253^{\circ}

, where

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

\newline

Answer:

Add $360$ degrees: To find a coterminal angle, we can add or subtract multiples of $360$ degrees (a full circle) to the given angle until the result is within the desired range of $0$ to $360$ degrees.
Find positive coterminal angle: Since $-253$ degrees is negative, we will add $360$ degrees to it to find a positive coterminal angle. $\newline$ $-253$ degrees + $360$ degrees = $107$ degrees
Check within range: Now we check if $107$ degrees is within the range of $0$ to $360$ degrees. $\newline$ $0$ degrees $\leq$ $107$ degrees < $360$ degrees $\newline$ This is true, so $107$ degrees is a coterminal angle to $-253$ degrees within the specified range.