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By how much does the greatest value of 5 cos θ + 12 sin θ + 7 exceed its least value?

Competition practiceTrigonometry
  • A26
  • B13
  • C20
  • D14

Step-by-Step Solution

5 cos θ + 12 sin θ lies between −13 and 13, so the expression runs from −6 to 20. The difference is 26.
Answer: A) 26

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