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Reciprocal ratios: csc, sec and cot

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Learn it csc θ = 1/sin θ, sec θ = 1/cos θ, cot θ = 1/tan θ. In a right triangle: csc = hypotenuse/opposite, sec = hypotenuse/adjacent, cot = adjacent/opposite.

Example: In a right triangle with sides 5, 12, 13, find sec θ if θ is opposite the 5.

  1. Adjacent = 12, hypotenuse = 13.
  2. sec θ = 13/12.

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