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If tan θ = 4/3 and θ is acute, find the value of sin θ + cos θ.

Competition practiceTrigonometry
  • A7/5
  • B1/5
  • C5/7
  • D12/25

Step-by-Step Solution

tan θ = 4/3 corresponds to a 3-4-5 right triangle, so sin θ = 4/5 and cos θ = 3/5. Their sum = 7/5.
Answer: A) 7/5

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