Exam-style question
Try this first
What is the safest exam approach for the definitions of secant?.
- A.E4: justify each step using the relevant trigonometry rule
- B.Use any familiar GCSE calculation even if it ignores the definitions of secant
- 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 E4: justify each step using the relevant trigonometry rule.
- This option is best because link the algebraic feature to the corresponding graph feature, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: E4 Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; understand their relationships to sine, cosine and tangent, their graphs, ranges and domains..
Explanation
Why this works
Use the explanation to connect the worked answer back to E4 Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; understand their relationships to sine, cosine and tangent, their graphs, ranges and domains..
E4: justify each step using the relevant trigonometry rule is the correct option. It directly supports the definitions of secant by requiring the student to link the algebraic feature to the corresponding graph feature.
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.