Solution: $ 225^\circ $ lies in the third quadrant, where sine is negative. Reference angle: $ 225^\circ - 180^\circ = 45^\circ $. Thus, $ \sin 225^\circ = -\sin 45^\circ = -\frac{\sqrt2}2 $. \boxed{-\dfrac{\sqrt2}2} - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

$Solution: $ 225^\circ $ lies in the third quadrant, where sine is negative. Reference angle: $ 225^\circ - 180^\circ = 45^\circ $. Thus, $ \sin 225^\circ = -\sin 45^\circ = -\frac{\sqrt{2}}{2} $. \boxed{-\dfrac{\sqrt{2}}{2}}$

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