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That depends on what it is that you're looking for the tangent of. One generic technique though would be:

  1. Find the derivative of the curve who's tangents you're looking at.
  2. Calculate the perpendicular slope to that of the line you're given.
  3. Solve that derivative for all values giving you that perpendicular slope.
  4. Plug those values into the original curve to find a defining point, and write your line functions with those.
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Q: How do you find each tangent line that is perpendicular to another line?
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