Exam-style question
Try this first
What is the safest exam approach for solving simple trigonometric equations in a given interval?.
- A.E7: justify each step using the relevant trigonometry rule
- B.Use any familiar GCSE calculation even if it ignores solving simple trigonometric equations in a given interval
- C.Write only the final answer without showing the mathematical method
- 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: justify each step using the relevant trigonometry rule.
- 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: justify each step using the relevant trigonometry rule 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: understanding.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.