Вычислить (3соs23°-3sin113°+cos203°)/( cos10°cos13°-cos80°cos77°)

Question 1

Вычислить (3соs23°-3sin113°+cos203°)/( cos10°*cos13°-cos80°*cos77°)

Question 2

есть более удобный способ

Question 3

3cos23-3sin113+cos203=3cos23-3(sin90+23)+cos(180+23)=3cos23-3cos23-cos23 = - cos23

Question 4

cos10*cos13-cos80*cos77=cos10*cos13-cos(90-10)*cos(90-13)=cos10*cos13-sin10*sin13 = cos(10+13)=cos23 это формула суммы углов

Question 5

получаем -cos23/cos23=-1

Question 6

Решите задачу:

$Таблицы Брадиса SIN 01=0.0175 SIN 02=0.0349 SIN 03=0.0523 SIN 04=0.0698 SIN 05=0.0872 SIN 06=0.1045 SIN 07=0.1219 SIN 08=0.1392 SIN 09=0.1564 SIN 10=0.1736 SIN 11=0.1908 SIN 12=0.2079 SIN 13=0.2250 SIN 14=0.2419 SIN 15=0.2588 SIN 16=0.2756 SIN 17=0.2924 SIN 18=0.3090 SIN 19=0.3256 SIN 20=0.3420 SIN 21=0.3584 SIN 22=0.3746 SIN 23=0.3907 SIN 24=0.4067 SIN 25=0.4226 SIN 26=0.4384 SIN 27=0.4540 SIN 28=0.4695 SIN 29=0.4848 SIN 30=0.5000 SIN 31=0.5150 SIN 32=0.5299 SIN 33=0.5446 SIN 34=0.5592 SIN 35=0.5736 SIN 36=0.5878 SIN 37=0.6018 SIN 38=0.6157 SIN 39=0.6293 SIN 40=0.6428 SIN 41=0.6561 SIN 42=0.6691 SIN 43=0.6820 SIN 44=0.6947 SIN 45=0.7071 SIN 46=0.7193 SIN 47=0.7314 SIN 48=0.7431 SIN 49=0.7547 SIN 50=0.7660 SIN 51=0.7771 SIN 52=0.7880 SIN 53=0.7986 SIN 54=0.8090 SIN 55=0.8192 SIN 56=0.8290 SIN 57=0.8387 SIN 58=0.8480 SIN 59=0.8572 SIN 60=0.8660 SIN 61=0.8746 SIN 62=0.8829 SIN 63=0.8910 SIN 64=0.8988 SIN 65=0.9063 SIN 66=0.9135 SIN 67=0.9205 SIN 68=0.9272 SIN 69=0.9336 SIN 70=0.9397 SIN 71=0.9455 SIN 72=0.9511 SIN 73=0.9563 SIN 74=0.9613 SIN 75=0.9659 SIN 76=0.9703 SIN 77=0.9744 SIN 78=0.9781 SIN 79=0.9816 SIN 80=0.9848 SIN 81=0.9877 SIN 82=0.9903 SIN 83=0.9925 SIN 84=0.9945 SIN 85=0.9962 SIN 86=0.9976 SIN 87=0.9986 SIN 88=0.9994 SIN 89=0.9998 SIN 90=1.0000 cos 0= 1.0000 cos 1= 0.9998 cos 2= 0.9994 cos 3= 0.9986 cos 4= 0.9976 cos 5= 0.9962 cos 6= 0.9945 cos 7= 0.9925 cos 8= 0.9903 cos 9= 0.9877 cos 10= 0.9848 cos 11= 0.9816 cos 12= 0.9781 cos 13= 0.9744 cos 14= 0.9703 cos 15= 0.9659 cos 16= 0.9613 cos 17= 0.9563 cos 18= 0.9511 cos 19= 0.9455 cos 20= 0.9397 cos 21= 0.9336 cos 22= 0.9272 cos 23= 0.9205 cos 24= 0.9135 cos 25= 0.9063 cos 26= 0.8988 cos 27= 0.8910 cos 28= 0.8829 cos 29= 0.8746 cos 30= 0.8660 cos 31= 0.8572 cos 32= 0.8480 cos 33= 0.8387 cos 34= 0.8290 cos 35= 0.8192 cos 36= 0.8090 cos 37= 0.7986 cos 38= 0.7880 cos 39= 0.7771 cos 40= 0.7660 cos 41= 0.7547 cos 42= 0.7431 cos 43= 0.7314 cos 44= 0.7193 cos 45= 0.7071 cos 46= 0.6947 cos 47= 0.6820 cos 48= 0.6691 cos 49= 0.6561 cos 50= 0.6428 cos 51= 0.6293 cos 52= 0.6157 cos 53= 0.6018 cos 54= 0.5878 cos 55= 0.5736 cos 56= 0.5592 cos 57= 0.5446 cos 58= 0.5299 cos 59= 0.5150 cos 60= 0.5000 cos 61= 0.4848 cos 62= 0.4695 cos 63= 0.4540 cos 64= 0.4384 cos 65= 0.4226 cos 66= 0.4067 cos 67= 0.3907 cos 68= 0.3746 cos 69= 0.3584 cos 70= 0.3420 cos 71= 0.3256 cos 72= 0.3090 cos 73= 0.2924 cos 74= 0.2756 cos 75= 0.2588 cos 76= 0.2419 cos 77= 0.2250 cos 78= 0.2079 cos 79= 0.1908 cos 80= 0.1736 cos 81= 0.1564 cos 82= 0.1392 cos 83= 0.1219 cos 84= 0.1045 cos 85= 0.0872 cos 86= 0.0698 cos 87= 0.0523 cos 88= 0.0349 cos 89= 0.0175$

Question 7

А более рациональный способ не подскажете?