Oh no! I just realized that I just had a test and for example 2sinx-sinx-1.

If I answered theta = *whatever whatever... instead of x = *whatever and my teacher decides to deduct half marks for each question I do, what are some points that I can argue?

This is making me worried as what if he deducts all the points from the numerous questions! What points can I argue to make him consider giving me no deductions.

This is worrying me because their is tons of questions that I could have switched x for theta or theta for x.

Well ask him to maybe mark you on your working out. BUT I am on the side of the teacher. You did it wrong. Tell him politely how you feel and hope he is sympethetic

Yeah that is right but he changed a question around and I guess not thinking I wrote theta instead of x...

Sigh... needed this test mark to be high.

Tell him theta was just a random representative and in no way correlated with radians/degrees.

Thanks, I hopefully won't get any deductions!

If you made a mistake by substituting theta for x or vice versa in multiple questions, it can indeed be a cause for concern. However, there are a few points you can argue to potentially minimize the deductions or explain your situation to your teacher:

1. Genuine Mistake: Explain that it was an unintentional error and that you understand the correct usage of theta and x. Emphasize that the mistake does not reflect your understanding of the concepts being tested.

2. Consistency: Highlight that you consistently made the same mistake throughout the paper, indicating that it was not a random or inconsistent error. This can imply that it was an oversight rather than a lack of knowledge or understanding.

3. Relevance: Demonstrate that your substitution of theta for x (or vice versa) did not affect the validity or correctness of your solutions. Explain how the mathematical steps and reasoning remain the same regardless of the variable used.

4. Degree of Impact: If possible, calculate the impact of the error on the final answers. If the substitution had a negligible effect on the overall solution or result, you can argue that the deductions should reflect the scale of impact caused by the mistake.

5. Overall Performance: If you performed consistently and accurately in other areas of the test, use that as evidence to support your argument. Argue that the mistake in using theta instead of x was an isolated incident among an otherwise strong performance.

Remember, it ultimately depends on the policies and attitudes of your teacher. However, by explaining your perspective, demonstrating your understanding of the concepts, and highlighting the consistency of your mistake, you may be able to convince your teacher to consider giving you fewer deductions.