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How many angles θ with 0° ≤ θ < 360° satisfy cos 2θ = cos θ?

Competition practiceTrigonometry
  • A2
  • B4
  • C3
  • D1

Step-by-Step Solution

2coθ − 1 = cos θ → (2cos θ + 1)(cos θ − 1) = 0. cos θ = 1 gives 0°; cos θ = −1/2 gives 120° and 240°. That is 3 angles.
Answer: C) 3

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