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Cambridge IGCSE Mathematics practice

exam practice - Understand the precise values of sine and cosine for angles 0°, 30°, 45°, 60°, and 90°, as well as the tangent values for angles 0°, 30°, 45°, and 60°. - Exact trigonometric values

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Exact trigonometric values

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Exact trigonometric values are often used in geometry problems involving special angles.

Description

Trigonometric Values

Use the exact values of sine, cosine, and tangent for the angles 0°, 30°, 45°, 60°, and 90° to answer the following questions.

  1. a

    Calculate the exact value of sin 45°.

    Aim for approximately 2 distinct marking points.

    [2]

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  • Topic focus: Exact trigonometric values.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Exact trigonometric values

Paper 2Core or Extended Mathematics3 marks

Description

Tangent Values

Use the exact values of tangent for the angles 0°, 30°, 45°, and 60° to answer the following question.

  1. a

    Calculate the exact value of tan 60°.

    Aim for approximately 3 distinct marking points.

    [3]