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How do you find the reference angle for the angle 696degrees?

1 Answer

Nov 15, 2016

Reference angle: $24^{\circ}$ $24^circ$

Explanation:

The reference angle, $θ_{r}$ $theta_r$ , of a general angle, $θ$ $theta$ , is the angle between the X-axis and $θ$ $theta$
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From the diagram (above) the reference angle for $696^{\circ}$ $696^circ$ is
$XXX | 720^{\circ} - 696^{\circ} | = 24^{\circ}$ $color(white)("XXX") abs(720^circ-696^circ) = 24^circ$

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