5) Площадь трапеции равна 2*2/2 + 2*3 +3*2/2 = 2 + 6 + 3 = 11 см^2
1 задание
1) cos56°cos26°+sin56°sin26° = cos(56°-26°) = cos30° = ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
2) sin 98°cos 52°+sin 52°cos 98 = sin(98°+52°) = sin150°= 0,5
3) sing8°cos52° + sin52° cos8° = sin(8°+52°) = sin 60°= ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
2 задание
65° = ![65*\frac{\pi }{180}=\frac{13\pi }{36}](https://tex.z-dn.net/?f=65%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3D%5Cfrac%7B13%5Cpi%20%7D%7B36%7D)
97° = ![97*\frac{\pi }{180}=\frac{97\pi }{180}](https://tex.z-dn.net/?f=97%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3D%5Cfrac%7B97%5Cpi%20%7D%7B180%7D)
974° = ![974*\frac{\pi }{180}=\frac{987\pi }{90}](https://tex.z-dn.net/?f=974%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3D%5Cfrac%7B987%5Cpi%20%7D%7B90%7D)
1° = ![1*\frac{\pi }{180}=\frac{\pi }{180}](https://tex.z-dn.net/?f=1%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
18 км : 6/5 = 15 (км)
Ответ: во второй день турист должен пройти 15 км