Skip to content
PlayOwl

Mathematics · Grade 12

Trigonometric Equations and Applications

Learners solve trigonometric equations on an interval and in general form, then apply trigonometry to triangles that are not right triangles: the Law of Sines with its ambiguous case, the Law of Cosines, the area formula ½ab sin C, navigation with bearings, and periodic motion modeled by sine and cosine.

  • 4 lessons
  • About 135 minutes
  • Trigonometric equations and applications check: 11 questions
  • Ways to answer: choose an answer, match pairs, type a number, place on a number line, put in order and sort into groups
Try it now (no account) One of the five free starter courses Open in PlayOwl

What learners will discover

  • Solve trigonometric equations, including quadratic-type and multiple-angle equations, on an interval and in general form.
  • Apply the Law of Sines, including deciding how many triangles fit an SSA description.
  • Apply the Law of Cosines and the area formula ½ab sin C, including navigation with bearings.
  • Model periodic motion with sinusoidal functions and solve for times when a condition is met.

Lessons

  1. Solving trigonometric equations 6 steps4 practiceabout 36 min
  2. The Law of Sines and the ambiguous case 5 steps3 practiceabout 32 min
  3. The Law of Cosines, area and bearings 6 steps4 practiceabout 36 min
  4. Periodic motion 5 steps2 practiceabout 31 min
  5. Trigonometric equations and applications check 11 questions at the end

Keep exploring

More 12th grade math

Guide for grown-ups