statement I If A,B,C,D  are angles of cyclic quadrilateral  then sinA +sinB+sinC+sinD=0

Statement II If A,B,C,D  are angles of cyclic quadrilateral  then cosA+cosB+cosC+cosD=0

A+C=180=B+D

sinA+sinB+sinC+sinD

=2sin(A/2+C/2)cos(A/2-C/2)+2sin(B/2+D/2)cos(B/2-D/2)

=2{cos(A/2-C/2)+cos(B/2-D/2)}

=4cos(A+B-C-D/4)cos(A-B-C+D/4)

this is not equal to zero.

hence the assertion is not true.

tell me whether i am correct or not?

reply is must.