Задача 67525 ...

6394baefb62de03424bd5fe4

11.12.2022 10:24:14

Найдите значения вырождения sin(-960⁰)-cos150⁰+tg 315⁰ +cos270⁰

5f3eaa23faf909182968dde0

11.12.2022 10:37:11

★

sin(-960^(o))-cos150^(o)+tg315^(o)+cos270^(o)=
=-sin(360^(o)*2+240^(o))-cos(180^(o)-30^(o))+tg(180^(o)*2-45^(o))+cos(360^(o)-90^(o))=
=-sin240^(o)-(-cos30^(o))+tg(-45^)o))+cos(-90^(o))=
=-sin(180^(o)+60^(o))+cos30^(o)-tg45^(o)+cos90^(o)=
=-(-sin60^(o))+(sqrt(3))/2-1+0=sin60^(o)+(sqrt(3))/2-1=
=(sqrt(3))/2+(sqrt(3))/2-1=sqrt(3)-1.