1) найти значение выражения sint*cot, если sint-cost=0.6 2) найти значение выражения cos^3t-sin^3t, если cost-sint=0.2

1) sint - cost = 0,6;

(sint - cost) ^2 = 0,6^2;

(sint) ^2 - 2sintcost + (cost) ^2 = 0,36;

1 - 2sintcost = 0,36;

sintcost = (1 - 0,36) / 2 = 0,32.

2) cost - sint = 0,2;

costsint = (1 - 0,04) / 2 = 0,48;

(cost - sint) ^3 = 0,2^3;

(cost) ^3 - 3 (cost) ^2sint + 3cost (sint) ^2 - (sint) ^3 = 0,008;

(cost) ^3 - (sint) ^3 - 3costsint (cost - sint) = 0,008;

(cost) ^3 - (sint) ^3 = 0,008 + 3costsint (cost - sint);

(cost) ^3 - (sint) ^3 = 0,008 + 3 ∙ 0,48 ∙ 0,2;

(cost) ^3 - (sint) ^3 = 0,296.