Trigonometry

Free ESAT Maths 2 lesson. Worked examples, common mistakes and a self-check.

What the lesson covers

  • Right-angled triangles and exact values
  • Non-right-angled triangles: the sine rule, cosine rule and area
  • Radians, arcs, sectors and segments
  • Sine, cosine and tangent of any angle: the unit circle
  • The graphs of sine, cosine and tangent, and their transformations
  • The two basic identities
  • Solving trigonometric equations in an interval
  • Strategy, bounds and applied problems
  • Self-check questions with answers (8)

Specification: MM4.1-4.6. Codes follow the UAT-UK ESAT content specification.

How to use it

  1. Read a section, then cover the worked example and try it yourself.
  2. Check the common mistakes list: these are the slips the real test is built to catch.
  3. Do the self-check without looking back. Mark it against the answers.
  4. Then practise the topic under time, with the matching practice set.

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