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Cambridge AS & A Level Mathematics

1.5Trigonometry

Trigonometry in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic41 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 1.5.1Sketch and use the graphs of sine, cosine and tangent for angles of any size in degrees or radians.
  2. 1.5.2Use the exact values of sine, cosine and tangent of 30°, 45°, 60° and related angles.
  3. 1.5.3Use the notations sin⁻¹x, cos⁻¹x and tan⁻¹x for principal values.
  4. 1.5.4Use the identities tan θ ≡ sin θ / cos θ and sin²θ + cos²θ ≡ 1.
  5. 1.5.5Find all the solutions of simple trigonometric equations in a specified interval.

Lessons

  • Basic trigonometric identities and equations

    50 min

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  • Trigonometric graphs, exact values and inverse functions

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Trigonometry: sample question

1 mark

Solve sin⁡x=−12\sin x = -\frac{1}{2} for 0∘≤x≤360∘0^\circ \le x \le 360^\circ.

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