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This is the same as secant squared theta [sec²(Θ)].

  • Take the identity sin²(Θ) + cos²(Θ) = 1
  • Divide both sides by cos²(Θ):
  1. sin²(Θ) / cos²(Θ) = tan²(Θ)
  2. cos²(Θ) / cos²(Θ) = 1
  3. 1 / cos²(Θ) = sec²(Θ)

tan²(Θ) + 1 = sec²(Θ)

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Q: How do you solve without a calculator tan squared theta plus 1?
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