[رياضياتى]

السلام عليكم



Cot A + Cot B + Cot C = ( 3^1/2 )

Cot C = ( 1 – cot A * cotB ) / cot A + cot B

Cot A + cot B + ( ( 1 – cot A * cotB ) / cot A + cot B ) = ( 3^1/2 )

Cot^2 ( A ) + cot^2 ( B ) + cotA * cot B - ( 3^1/2 ) * cot A - ( 3^1/2 ) * cot B + 1 = 0

Cot^2 ( A ) - ( 3^1/2 - cot B ) * cot A - ( ( 3^1/2 ) * cot B - cot^2 ( B ) - 1 ) = 0

Cot A = 3^1/2 - cot B +/- ( - ( 3^1/2 cot B - 1 )^2 )^1/2 /2


( ( 3^1/2 ) * cot B - 1 ) = 0 ………… cot B = 1/ ( 3^1/2 )

cot A = 1/ ( 3^1/2 )

cot C = 1/ ( 3^1/2 )