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tan θ/(1 − cot θ) + cot θ/(1 − tan θ) simplifies to

Competition practiceTrigonometry
  • A1 + sec θ cosec θ
  • Bsec θ cosec θ
  • C1 + tan θ
  • Dtan θ + cot θ − 1

Step-by-Step Solution

Write = tan θ: . And tan θ + cot θ = sec θ cosec θ, so the value is 1 + sec θ cosec θ.
Answer: A) 1 + sec θ cosec θ

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