{"result":{"text":"table attributes columnalign left end attributes row cell sum x subscript i equals sin 2 alpha comma stack space space sum with i less than j below x subscript i x subscript j equals cos 2 alpha comma end cell row cell sum for i less than j less than k of x subscript i x subscript j x subscript k equals cos alpha comma space x subscript 1 x subscript 2 x subscript 3 x subscript 4 equals negative sin alpha end cell row cell sum from i equals 1 to 4 of tan to the power of negative 1 end exponent space x subscript i equals tan to the power of negative 1 end exponent fraction numerator capital sigma x subscript i minus capital sigma x subscript i x subscript j x subscript k over denominator 1 minus capital sigma x subscript i x subscript j plus x subscript 1 x subscript 2 x subscript 3 x subscript 4 end fraction end cell row cell equals tan to the power of negative 1 end exponent open parentheses fraction numerator sin alpha minus cos alpha over denominator 1 minus cos 2 alpha minus sin alpha end fraction close parentheses equals tan to the power of negative 1 end exponent open parentheses fraction numerator cos alpha left parenthesis 2 sin alpha minus 1 right parenthesis over denominator s i n alpha left parenthesis 2 sin alpha minus 1 right parenthesis end fraction close parentheses end cell row cell equals tan to the power of negative 1 end exponent cot alpha equals tan to the power of negative 1 end exponent tan open parentheses pi over 2 minus alpha close parentheses equals pi over 2 minus alpha end cell end table"},"status":"ok"}