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Which expression finds the measure of an angle that is coterminal with a \( 300^{\circ} \) angle?

Ask by Vargas Herrera. in the United States
Mar 17,2025

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An angle coterminal with \(300^{\circ}\) can be expressed as \(300^{\circ} + 360^{\circ}k\), where \(k\) is any integer.

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Bonus Knowledge

To find a coterminal angle, you can simply add or subtract \( 360^{\circ} \) from the original angle. For a \( 300^{\circ} \) angle, you could subtract \( 360^{\circ} \): \[ 300^{\circ} - 360^{\circ} = -60^{\circ} \] So, \( -60^{\circ} \) is a coterminal angle with \( 300^{\circ} \). You could also find another coterminal angle by adding \( 360^{\circ} \): \[ 300^{\circ} + 360^{\circ} = 660^{\circ} \] Thus, both \( -60^{\circ} \) and \( 660^{\circ} \) are coterminal with \( 300^{\circ} \). Rotational angles are a funky topic! If you think about it, they help us understand how we can navigate circles and cycles. For example, pilots use coterminal angles when adjusting flight paths, ensuring they land safely on any runway no matter how they got there! If you're venturing deeper into angular measurements, consider researching radians too. They turn the kooky world of circles into delightful math! A complete circle is \( 2\pi \) radians, which translates to a new perspective on angles that can even help you with trigonometric identities. Who knew radians could be so rad?

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