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What does (sec θ − cos θ)(cosec θ − sin θ)(tan θ + cot θ) equal?

Competition practiceTrigonometry
  • A1
  • B0
  • C2
  • Dsin θ cos θ

Step-by-Step Solution

sec θ − cos θ = siθ/cos θ, cosec θ − sin θ = coθ/sin θ and tan θ + cot θ = 1/(sin θ cos θ). The product is 1.
Answer: A) 1

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