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The student that simplified the expression incorrectly is student 2
<h3>How to determine the incorrect result?</h3>The steps are given as:
Student 1:
- Step 1:
- Step 2:
- Step 3: 1 + tan²(Ф)
- Step 4: sec²(Ф)
Student 2:
- Step 1:
- Step 2:
- Step 3: sec²(Ф)/tan²(Ф)
- Step 4: csc²(Ф)
As a general trigonometry rule;
This means that student 1 is correct, while student 2 is not
The first error in student 2's workings is in step 2, where we have:
The above expression is not justified and cannot be proved by any trigonometry rule
Since the step 2 is incorrect, the other steps cannot be used.
Hence, the student that simplified the expression incorrectly is student 2
Read more about trigonometric expressions at:
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