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In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.

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mhanifa

Answer:

In ΔXYZ

  • ∠Y is a right angle
  • ∠X and ∠Z are complementary angles
  • sin X = 12/25

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  • sec X = 1/cos X =  [tex]1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}[/tex]
  • tan X = sin X / cos X = [tex]12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }[/tex]
  • cos Z = sin X = 12/25

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