trig
posted by tina .
cos(+pi/2theta)/csctheta+cos^2theta

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
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