Вычислить sin77°cos17° - sin13°cos73°

по формулам

sin77=sin(90-13)=cos13

cos73=cos(90-17)=sin17

cos13cos17-sin13sin17=cos(13+17)=cos30=корень3/2

sinacosb=0.5(sin(a+b)+sin(a-b)) sina-sinb=2sin((a-b)/2)cos((a+b)/2) тогда sin77cos17-sin13cos73=0.5(sin94+sin60) - 0.5(sin86 +sin(-60))= =0.5(sin94-sin86+2sin60)=0.5(sin(94-86)/2)cos(94+86)/2)+2sin60)= =0.5(0+2sin60)=sin60=0.5sqrt3 удачи.

5/3 х - 4/9=11/6х - 5/10

5/3х - 11/6х=4/9 - 5/10

- 1/6х= - 1/18

х= - 1/18: ( - 1/6)

х=1/3