Find ##\tan \theta ## in the form of ##a+b\sqrt {2}##

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SUMMARY

The forum discussion centers on identifying an error in the mark scheme (ms) related to the trigonometric problem of finding ##\tan \theta## in the form of ##a+b\sqrt{2}##. Participants confirm the existence of a mistake and suggest that showing intermediate steps, particularly in grouping radicals and simplifying the denominator, can clarify the issue. The context involves an international curriculum paper, indicating the importance of accuracy in educational materials.

PREREQUISITES
  • Understanding of trigonometric functions and identities
  • Familiarity with simplifying expressions involving radicals
  • Knowledge of mark schemes in educational assessments
  • Basic skills in mathematical problem-solving
NEXT STEPS
  • Review trigonometric identities and their applications
  • Practice simplifying expressions with radicals
  • Explore common errors in mark schemes and how to identify them
  • Learn about the structure and purpose of international curriculum assessments
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Students preparing for international mathematics assessments, educators reviewing mark schemes, and anyone interested in enhancing their problem-solving skills in trigonometry.

chwala
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Homework Statement
see attached.
Relevant Equations
Trigonometry - Add Maths
There is an error on ms ...unless i am missing something.

1715481924862.png


1715481969500.png
 
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chwala said:
Homework Statement: see attached.
Relevant Equations: Trigonometry - Add Maths

There is an error on ms ...unless i am missing something.

View attachment 345058

View attachment 345059
Yes. There is an error.
 
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Showing the intermediate step where you group the radicals and simplify the denominator may help reveal the mistake.
 
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scottdave said:
Showing the intermediate step where you group the radicals and simplify the denominator may help reveal the mistake.
I saw the mistake ... just wanted to counter-check myself... Cheers man!

This is a question from an international curriculum paper and its highly unlikely for mistakes to be on ms ...
 
Last edited:
chwala said:
I saw the mistake ... just wanted to counter-check myself... Cheers man!

This is a question from an international curriculum paper and its highly unlikely for mistakes to be on ms ...
What does ms stand for?
 
scottdave said:
What does ms stand for?
It's chwala's abbreviation for "mark scheme."
 
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