Question 1076621
1.

{{{sin(x) + cos(x)*cot(x)}}}... recall that {{{cot(x)=cos(x)/sin(x)}}}

{{{sin(x) + cos(x)*(cos(x)/sin(x))}}}

{{{sin(x) + (cos^2(x)/sin(x))}}}..... recall that {{{cos^2(x)=1-sin^2(x)}}}

{{{sin(x) + (1-sin^2(x))/sin(x)}}}

{{{(sin(x)*sin(x))/sin(x) + (1-sin^2(x))/sin(x)}}}

{{{sin^2(x)/sin(x) + (1-sin^2(x))/sin(x)}}}

{{{(sin^2(x) + 1-sin^2(x))/sin(x)}}}

{{{(cross(sin^2(x)) + 1-cross(sin^2(x)))/sin(x)}}}

{{{ 1/sin(x)}}}


2.

{{{-cos(t) - sin(x) tan(x)}}}

{{{-cos(t) - sin(x) (sin(x)/cos(x))}}}

{{{-cos(t) - sin^2(x)/cos(x)}}}

{{{-(cos(t)cos(x))/cos(x) - (1-cos^2(x))/cos(x)}}}

{{{(-(cos(t)cos(x)) - (1-cos^2(x)))/cos(x)}}}

{{{(-(cos(t)cos(x)) - 1+cos^2(x))/cos(x)}}}

{{{-(cos(x)(cos(t) - 1+cos(x)))/cos(x)}}}


{{{-(cross(cos(x))(cos(t) - 1+cos(x)))/cross(cos(x))}}}


{{{-(cos(t) - 1+cos(x))}}}

{{{1-cos(t) -cos(x)}}}