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If tan space left parenthesis pi cos space theta right parenthesis equals cot space left parenthesis pi Sin space theta right parenthesis then the value(s) of cos space open parentheses theta minus pi over 4 close parentheses is are

  1. 1 half
  2. fraction numerator 1 over denominator square root of 2 end fraction
  3. plus-or-minus fraction numerator 1 over denominator 2 square root of 2 end fraction
  4. fraction numerator 1 over denominator 3 square root of 2 end fraction

The correct answer is: plus-or-minus fraction numerator 1 over denominator 2 square root of 2 end fraction

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