Pregunta
Find the reference angle for the angle \( 303^{\circ} \). The reference angle is \( \square^{\circ} \). (Type an integer or a decimal.)
Ask by Cole May. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The reference angle is \(57^\circ\).
Solución
1. The angle \(303^\circ\) lies in the fourth quadrant where the reference angle is calculated by subtracting the given angle from \(360^\circ\).
2. Compute the reference angle:
\[
360^\circ - 303^\circ = 57^\circ
\]
3. Therefore, the reference angle is \( 57^\circ \).
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Como
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Mind Expander
To find the reference angle for \( 303^{\circ} \), we first determine in which quadrant the angle lies. Since \( 303^{\circ} \) is greater than \( 270^{\circ} \) but less than \( 360^{\circ} \), it is in the fourth quadrant. The reference angle can be found by subtracting \( 303^{\circ} \) from \( 360^{\circ} \): \[ 360^{\circ} - 303^{\circ} = 57^{\circ} \] So, the reference angle is \( 57^{\circ} \). In summary, the reference angle is \( 57^{\circ} \).

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