Exam-style question
Try this first
Which statement shows sound trigonometry reasoning for tan theta = sin theta / cos theta?.
- A.E5: check notation, restrictions and final form
- B.Use any familiar GCSE calculation even if it ignores tan theta = sin theta / cos theta
- 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 E5: check notation, restrictions and final form.
- This option is best because identify the mathematical structure, choose a valid method, and justify the final statement, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: E5 Understand and use tan theta = sin theta / cos theta; understand and use sin^2 theta + cos^2 theta = 1, sec^2 theta = 1 + tan^2 theta, and cosec^2 theta = 1 + cot^2 theta..
Explanation
Why this works
Use the explanation to connect the worked answer back to E5 Understand and use tan theta = sin theta / cos theta; understand and use sin^2 theta + cos^2 theta = 1, sec^2 theta = 1 + tan^2 theta, and cosec^2 theta = 1 + cot^2 theta..
E5: check notation, restrictions and final form is the correct option. It directly supports tan theta = sin theta / cos theta by requiring the student to identify the mathematical structure, choose a valid method, and justify the final statement.
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: application.
- 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.