tan²α=2tan²θ+1求证cos2α+sin²θ=0

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tan²α=2tan²θ+1求证cos2α+sin²θ=0tan²α=2tan²θ+1求证cos2α+sin²θ=0tan²α=2

tan²α=2tan²θ+1求证cos2α+sin²θ=0
tan²α=2tan²θ+1求证cos2α+sin²θ=0

tan²α=2tan²θ+1求证cos2α+sin²θ=0
∵tan²α=2tan²θ+1
  ∴tan²α=-1
  ∴cos2α+sin²θ
  =cos²a-sin²+sin²
  =cos²a
  =1/[sec²a]
  =1/[1+tan²a]
  =1/0
  =∞