Question

ПОМОГИТЕ СРОЧНО!!!!!!

Answer 1

Объяснение:

1)

√3•sin60•cos60+ctg45•tg135=

=√3•sin60•cos60+ctg45•tg(90+45)=

=√3•sin60•cos60+ctg45•(-ctg45)=

=√3•(√3/2)•(1/2)+1•(-1)=3/4-1= -1/4

2)

cos135•sin45-cos150•tg120=

=cos(90+45)•sin45-cos(90+60)•tg(90+30)=

= -sin45•sin45-((-sin60)•(-ctg30))=

= -√2/2•√2/2-((-√3/2)•(-√3))= -2/4-3/2=

= -2/4-6/4= -8/4= -2

3)

ctg135-sin150•cos120=

=ctg(90+45)-sin(90+60)•cos(90+30)=

= -tg45-cos60•(-sin30)=

= -1-1/2•(-1/2)= -1+1/4= -4/4+1/4= -3/4

4)

cos120•sin120•tg150=

=cos(90+30)•sin(90+30)•tg(90+60)=

= -sin30•cos30•(-ctg60)=

= -1/2•√3/2•(-1/√3)=1/4