Вычислить 1) tg(-П/4)+cos(-П/4)+sin(-П/4) 2) sin(-П/6)-cos(-П/3)-tg(-П/6) 3)...

Question

Вычислить
1) tg(-П/4)+cos(-П/4)+sin(-П/4)
2) sin(-П/6)-cos(-П/3)-tg(-П/6)
3) sin(-3П/2)+cos(-11П)

Answer 1

1) tg(-π/4)+cos(-π/4)+sin(-π/4)=-tgπ/4+cosπ/4-sinπ/4=-1+√2/2-√2/2=-1

2) sin(-π/6)-cos(-π/3)-tg(-π/6)=-sinπ/6-cosπ/6+tgπ/6=-1/2-√3/2+√3/3=                  (-1*3-3√3+2√3)/6=(-3-√3)/6

3) sin(-3π/2)+cos(-11π)=-sin3π/2+cos11π=-(-1)+cos(10π+π)=1+cosπ=1-1=0