Demystifying - Exact trigonometric values

Drills

The exact values of sin and cos at 0°, 30°, 45°, 60° and 90°, and tan up to 60°, read from two special triangles.

Author note — to cover

G21's exact values, both tiers: sin and cos at 0, 30, 45, 60 and 90 degrees, and tan at 0, 30, 45 and 60 only — tan 90 is undefined and outside G21. Derive from the half-equilateral and right-isosceles triangles for non-calculator questions. Surd arithmetic support is Number's N8. (G21)

  • Fluency — direct questions on exact trigonometric values, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Exact trigonometric values.