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Find the reference angle for -324^circ square ^circ

Pergunta

Find the reference angle for -324^circ 
square ^circ

Find the reference angle for -324^circ square ^circ

Solução

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VitóriaProfissional · Tutor por 6 anos

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<br /><br />To find the reference angle for $-324^{\circ}$, we first need to find the positive equivalent angle between $0^{\circ}$ and $360^{\circ}$.<br /><br />We can do this by adding $360^{\circ}$ to $-324^{\circ}$:<br /><br />$-324^{\circ} + 360^{\circ} = 36^{\circ}$<br /><br />So, $-324^{\circ}$ is equivalent to $36^{\circ}$.<br /><br />Next, we find the reference angle. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. Since $36^{\circ}$ is in the first quadrant, its reference angle is itself.<br /><br />Therefore, the reference angle for $-324^{\circ}$ is $\boxed{36^{\circ}}$.
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