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open parentheses 1 plus tan invisible function application alpha close parentheses open parentheses 1 plus tan invisible function application 4 alpha close parentheses equals 2 comma blank alpha element of open parentheses 0 comma blank pi divided by 16 close parentheses then alpha is equal to

  1. fraction numerator 1 over denominator square root of 3 end fraction  
  2. square root of 3  
  3. negative fraction numerator 1 over denominator square root of 3 end fraction  
  4. negative square root of 3  

The correct answer is: square root of 3


    255 blank tan invisible function application 40 degree plus square root of 3 tan invisible function application 20 degree tan invisible function application 40 degree is equal to
    rightwards double arrow square root of 3 equals fraction numerator tan invisible function application 20 degree plus tan invisible function application 40 degree over denominator 1 minus tan invisible function application 20 degree tan invisible function application 40 degree end fraction
    rightwards double arrow square root of 3 minus square root of 3 tan invisible function application 20 degree tan invisible function application 40 degree equals tan invisible function application 20 degree plus tan invisible function application 40 degree
    rightwards double arrow tan invisible function application 20 degree plus tan invisible function application 40 degree plus square root of 3 tan invisible function application 20 degree tan invisible function application 40 degree equals square root of 3
    rightwards double arrow tan invisible function application A plus tan invisible function application B equals 1 minus tan invisible function application A tan invisible function application B
    rightwards double arrow tan invisible function application open parentheses A plus B close parentheses equals 1 comma blank i. e. comma blank A plus B equals fraction numerator pi over denominator 4 end fraction
    o r blank alpha plus 4 alpha equals fraction numerator pi over denominator 4 end fraction comma i. e. comma blank alpha equals fraction numerator pi over denominator 20 end fraction

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