Posted by tina on .
cos(+pi/2theta)/csctheta+cos^2theta

trig 
Reiny,
cos(π/2  Ø) = sinØ , complementary angle property
then
cos(+pi/2theta)/csctheta+cos^2theta
= cos(π/2Ø) * 1/cscØ + cos^2 Ø
= sinØ ( sinØ) + cos^2 Ø
= sin^2 Ø + cos^2 Ø
= 1