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Exam-style 1 - E8 Construct proofs involving trigonometric functions and identities. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

exam_style

Style

Topic

Pure Mathematics

Exam-style question

Try this first

E8: Explain how to approach construct proofs involving trigonometric functions and… in an AQA A-level Mathematics question. Your answer should identify the method, the key notation and one check on the final result.

Model answer

What a good answer should say

  • A strong answer begins by recognising that this is a trigonometry objective about construct proofs involving trigonometric functions and….
  • The method is to state the assumption, justify each logical step, and identify the conclusion.
  • The working should name the relevant notation, show one clear operation or logical step at a time, and finish with a statement that matches the question demand.
  • A useful check is to substitute, compare with the graph or verify the domain/range/interval conditions where they apply.

This answer is tied to the objective: E8 Construct proofs involving trigonometric functions and identities..

Explanation

Why this works

Use the explanation to connect the worked answer back to E8 Construct proofs involving trigonometric functions and identities..

This question is anchored to E8 because it tests method selection and reasoning for construct proofs involving trigonometric functions and…, not a disconnected routine skill. It rewards precise notation, visible working and a final conclusion that follows from the stated pure mathematics method.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: exam_style.
  • Reasoning demand: recall.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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