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MCQ 4 - E7 Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle. - Pure Mathematics

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

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What should a student check when answering a question on solving simple trigonometric equations in a given interval?.

  1. A.E7: connect the result back to the original question
  2. B.Use any familiar GCSE calculation even if it ignores solving simple trigonometric equations in a given interval
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is E7: connect the result back to the original question.
  • This option is best because connect the algebraic method with the graph or discriminant information, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: E7 Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle..

Explanation

Why this works

Use the explanation to connect the worked answer back to E7 Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle..

E7: connect the result back to the original question is the correct option. It directly supports solving simple trigonometric equations in a given interval by requiring the student to connect the algebraic method with the graph or discriminant information.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

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

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