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If a·cosθ − b·sinθ = c, then a·sinθ + b·cosθ equals:

Competition practiceTrigonometry
  • A±√
  • B±√
  • C±(a + b − c)
  • D±√

Step-by-Step Solution

Square and add the two expressions: , because the cross terms ·sinθ·cosθ cancel. So , giving ±√.
Answer: A) ±√

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