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Mathematics · Grade 12

Trigonometric Functions and Identities

Learners extend trigonometry to all six functions on the unit circle, define inverse trigonometric functions on restricted domains, verify identities with chains of justified steps, disprove false identities with counterexamples, and derive and use the sum, difference and double-angle formulas.

  • 4 lessons
  • About 135 minutes
  • Trigonometric functions and identities check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, place on a number line and put in order
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What learners will discover

  • Evaluate all six trigonometric functions for any angle using the unit circle, reference angles and quadrant signs.
  • Evaluate inverse trigonometric functions and explain why their domains are restricted.
  • Verify trigonometric identities with justified steps and disprove non-identities with counterexamples.
  • Derive and apply the sum, difference and double-angle formulas.

Lessons

  1. All six functions on the unit circle 6 steps4 practiceabout 32 min
  2. Inverse trigonometric functions 6 steps4 practiceabout 30 min
  3. Proving and disproving identities 6 steps4 practiceabout 36 min
  4. Sum, difference and double-angle formulas 6 steps4 practiceabout 37 min
  5. Trigonometric functions and identities check 11 questions at the end

Keep exploring

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