Simplify:
(i) `(cos theta)/(sin (90^@ + theta)) + (sin (-theta))/(sin(180^(@) + theta)) - (tan(90^(@)+theta))/(cot theta)`

Prove that (cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot(theta))=3

Simplify : (cos(-theta))/(sin (90^(@)+theta))

Find the value of (sin theta)/(cos (90^@+theta))+(sin theta)/(sin (180^@+theta))+(tan(90^@+theta))/(cot theta)

((cos (90 ^ (@)) - theta) sin (90 ^ (@) - theta)) / (tan (90 ^ (@) - theta))

Prove that (cos(90^(@)-theta))/(1+sin(90^(@)-theta))+(1+sin(90^(@)-theta))/(cos(90^(@)-theta))=2cosec theta

Prove that -(cot (180^(@) + theta) sin (90^(@) - theta) cos (-theta))/(sin (270^(@) + theta) tan(-theta) coses (360^(@) + theta)) = cos^(2) theta cot theta .

Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) cos theta)/( sec (90^(@) - theta)) - (cos theta sin (90^(@) - theta) sin theta)/( cosec (90^(@) - theta))

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

sin theta cos(90^@ -theta) +cos theta sin(90^@ -theta) = ?

Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) cos (90^(@)+theta)+1=0