Question

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.

Answer 1

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 =
  `1/√(1- sin^2X) = 1/√(1 - 12^2/25^2) = 1/√(481)/25 = 25/√(481)`
• tan X = sin X / cos X =
  `12/{25 : {√(481) }/25 = 12/{√(481) }`
• cos Z = sin X = 12/25