Вычислить 1) tg(-п/4)+cos(-п/4)+sin(-п/4) 2) sin(-п/6)-cos(-п/3)-tg(-п/6) - вопрос №362809014442636 от натали200652 15.05.2022 06:46

Question

Алгебра: 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)

натали200652 · Answer

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