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Find the exact value of sin60° · cos30° − cos60° · sin30°.

Competition practiceTrigonometry
  • A1
  • B0
  • C1/2
  • D√3/2

Step-by-Step Solution

This is the sine subtraction identity: sin(60° − 30°) = sin 30° = 1/2. Directly: (√3/2)(√3/2) − (1/2)(1/2) = 3/4 − 1/4 = 1/2.
Answer: C) 1/2

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