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Test: Trigonometric identities and equations

This test applies fundamental trigonometric identities and methods for solving equations. Students write general solutions, use periodicity and select the values that belong to a specified angular interval.

Question qty: 10
Duration in minutes: 17
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Sample questions

  • When are identities useful in a trigonometric equation?
  • Solve a sin x + (b) = 0 on [0°, 360°].
  • Write the general solution of tan x = tan a°.
  • Given sin α = s and cos α = c, calculate tan α.
  • For acute α with sin α = s, approximate cos α.
  • Solve cos x = c on [0°, 360°].
  • For acute α with tan α = t, approximate cos α using 1 + tan²α = 1/cos²α.
  • How are solutions in a stated interval selected from a general trigonometric solution?

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