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The solution of 4 sin to the power of 2 end exponent invisible function application x plus tan to the power of 2 end exponent invisible function application x plus c o s e c to the power of 2 end exponent x plus cot to the power of 2 end exponent invisible function application x minus 6 equals 0 is

  1. n pi plus-or-minus fraction numerator pi over denominator 4 end fraction  
  2. 2 n pi plus-or-minus fraction numerator pi over denominator 4 end fraction  
  3. n pi plus fraction numerator pi over denominator 3 end fraction  
  4. n pi minus fraction numerator pi over denominator 6 end fraction  

The correct answer is: n pi plus-or-minus fraction numerator pi over denominator 4 end fraction


    open parentheses 2 sin invisible function application x minus c o s e c blank x close parentheses to the power of 2 end exponent plus open parentheses tan invisible function application x minus cot invisible function application x close parentheses to the power of 2 end exponent equals 0
    rightwards double arrow sin to the power of 2 end exponent invisible function application x equals fraction numerator 1 over denominator 2 end fraction blank a n d tan to the power of 2 end exponent invisible function application x equals 1
    rightwards double arrow x equals n pi plus-or-minus fraction numerator pi over denominator 4 end fraction comma n element of Z

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