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If sinA + cosA = √2, then sinA·cosA equals:

Competition practiceTrigonometry
  • A1
  • B1/2
  • C1/4
  • D√2

Step-by-Step Solution

Squaring gives siA + cosinA·cosA = 2, so 1 + 2sinA·cosA = 2 and sinA·cosA = 1/2.
Answer: B) 1/2

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