Find an angle theta coterminal to -520^(@), where 0^(@) <= theta < 360^(@). Answer:

Add 360° to -520°: 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 -520° is negative, we will add 360° repeatedly until we get a positive angle in the correct range.Add 360° to -160°: First addition: -520° + 360° = -160°. The angle is still negative, so we need to add 360° again.Final Coterminal Angle: Second addition: -160° + 360° = 200°. This angle is positive and within the range of 0° to 360°, so it is a coterminal angle to -520°.

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Find an angle
theta coterminal to
-520^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $-520^{\circ}$ , 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

-520^{\circ}

, where

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

\newline

Answer:

Add $360$ ° to $-520$ °: 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 $-520°$ is negative, we will add $360°$ repeatedly until we get a positive angle in the correct range.
Add $360$ ° to $-160$ °: First addition: $-520° + 360° = -160°$ . The angle is still negative, so we need to add $360°$ again.
Final Coterminal Angle: Second addition: $-160^\circ + 360^\circ = 200^\circ$ . This angle is positive and within the range of $0^\circ$ to $360^\circ$ , so it is a coterminal angle to $-520^\circ$ .