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What is the value of \(\sin(420°)\)?

  • A.1/2
  • B.-1/2
  • C.√3/2
  • D.-√3/2

Answer: C

Subtract a full turn to bring the angle into range.

\[ 420^{\circ} - 360^{\circ} = 60^{\circ} \]

\[ \sin 60^{\circ} = \frac{\sqrt{3}}{2} \]

Sine has period 360°, so the value repeats exactly.

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