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The value of \(\sin 30°\cos 60° + \cos 30°\sin 60°\) is:

  • A.1/2
  • B.√3/2
  • C.1
  • D.0

Answer: C

This is the sine addition formula, \(\sin(A+B) = \sin A \cos B + \cos A \sin B\).

The expression is equal to \(\sin(30°+60°) = \sin(90°) = 1\).

Alternatively, substituting values: \((1/2)(1/2) + (\sqrt{3}/2)(\sqrt{3}/2) = 1/4 + 3/4 = 4/4 = 1\).

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