Find an angle theta coterminal to -747^(@), where 0^(@) <= theta < 360^(@). Answer:

Add 360°: To find a coterminal angle, we can add or subtract multiples of 360° to the given angle until the result is within the desired range of 0° to 360°. Since -747° is negative, we will add 360° repeatedly until we get a positive angle in the specified range.Add 360°: First, add 360° to -747°: -747° + 360° = -387°. The result is still negative, so we need to add 360° again.Add 360°: Add 360° to -387°: -387° + 360° = -27°. The result is still negative, so we need to add 360° one more time.Add 360°: Add 360° to -27°: -27° + 360° = 333°. The result is now positive and within the range of 0° to 360°, so we have found a coterminal angle.

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Find an angle
theta coterminal to
-747^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $-747^{\circ}$ , 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

-747^{\circ}

, where

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

\newline

Answer:

Add $360$ °: To find a coterminal angle, we can add or subtract multiples of $360°$ to the given angle until the result is within the desired range of $0°$ to $360°$ . Since $-747°$ is negative, we will add $360°$ repeatedly until we get a positive angle in the specified range.
Add $360$ °: First, add $360$ ° to $-747°$ : $-747° + 360° = -387°$ . The result is still negative, so we need to add $360$ ° again.
Add $360$ °: Add $360$ ° to $-387°$ : $-387° + 360° = -27°$ . The result is still negative, so we need to add $360$ ° one more time.
Add $360$ °: Add $360$ ° to $-27°$ : $-27° + 360° = 333°$ . The result is now positive and within the range of $0°$ to $360°$ , so we have found a coterminal angle.