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ZIMSEC A-Level Pure Mathematics

6.4.2Trigonometrical functions

Trigonometrical functions in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic103 practice questions5 lessons
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Overview

Identities exclude half-angle identities (as printed). The form R sin(θ ± α) is not named; it is taught here as part of trigonometrical identities (confirm).

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.4.2.1Form 5: sketch and transform the graphs of the trigonometrical functions.
  2. 6.4.2.2Form 5: sketch the graphs of the inverse trigonometrical relations.
  3. 6.4.2.3Form 5: solve trigonometrical equations.
  4. 6.4.2.4Form 5: prove trigonometrical identities (excluding half-angle identities) and use them to solve problems.

Lessons

  • Basic trigonometric identities and equations

    50 min

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  • Compound-angle and double-angle formulae

    40 min

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  • Secant, cosecant and cotangent

    45 min

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  • The harmonic form R sin(θ ± α) and R cos(θ ± α)

    45 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.

Trigonometrical functions: 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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