FOIL out the top:

AMP Parsing Error of [(csc^2x+csc(x)cot(x)-cot(x)csc(x)-cot^2x)/csc(x)]: Invalid function '\x+csc(x)cot(x)-cot(x)csc(x)-cot^2\x)/csc(x)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [(csc^2x+cross(csc(x)cot(x)-cot(x)csc(x))-cot^2x)/csc(x)]: Invalid function '\x+cross(csc(x)cot(x)-cot(x)csc(x))-cot^2\x)/csc(x)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [(csc^2x-cot^2x)/csc(x)]: Invalid function '\x-cot^2\x)/csc(x)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


use the Pythagorean identity AMP Parsing Error of [1+cot^2alpha=csc^2alpha]: Invalid function '\alpha=csc^2\alpha': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
 which
can be rearranged as AMP Parsing Error of [csc^2alpha-cot^2alpha=1]: Invalid function '\alpha-cot^2\alpha=1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
 to replace
the numerator by just .



Then use the reciprocal identity 
to replace the denominator:



÷

Invert the second fraction and change division to
multiplication:

×



Edwin