sin ( 180 + theta ) cos ( 90 + theta ) tan ( 270 + theta )cot ( 360 + theta) / sin ( 360 - theta ) cos ( 360 + theta ) cosec ( -theta ) sin ( 270 + theta )

i m using 'Q' to represent theta

-sinQ  X  cosQ   X  -tanQ  X  cotQ

-sinQ X cos Q X -cosecQ X -sinQ

cancelling out from numerastor and denominator we get 

-tanQ    X       cot Q

-cosecQ X -sin Q

implies

-tanQ X 1/tanQ

-1/sinQ X sinQ

thus we get

-1   = 1

-1

i hope this helped... thumbs up plzzz