Maths-
General
Easy

Question

text  If  end text straight U subscript straight n equals sin space n theta sec to the power of straight n space theta comma straight V subscript straight n equals cos space n theta sec to the power of straight n space theta text  for  end text straight n equals 0 comma 1 comma 2 text , then  end text straight V subscript straight n minus V subscript straight a minus 1 end subscript plus straight U subscript straight n minus 1 end subscript tan space theta equals text  ?  end text

  1. 0
  2. 1
  3. sin space theta
  4. cos space theta

The correct answer is: 0


    cos space n theta sec to the power of n space theta minus cos space left parenthesis n minus 1 right parenthesis theta sec to the power of mt minus 1 end exponent space theta
    plus sin space left parenthesis n minus 1 right parenthesis theta sec to the power of n minus 1 end exponent
    s e c to the power of n space theta left square bracket c o s space n theta minus left parenthesis c o s space left parenthesis n minus 1 right parenthesis theta c o s space theta minus s i n space left parenthesis n minus 1 right parenthesis theta s i n space theta right parenthesis right square bracket
    equals s e c to the power of n space theta left square bracket c o s space n theta minus c o s space n theta right square bracket equals 0

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