" (i) "(cos20^(@))/(sin70^(@))+(cos theta)/(sin(90^(@)-theta))

Find the value of the following: (cos70^(@))/(sin20^(@))+(cos59^(@))/(sin31^(@))+(costheta)/(sin(90^(@)-theta))-8cos^(2)60^(@)

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

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

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Without using trigonometrical tables; prove (sin theta)/(sin(90-theta))+(cos theta)/(cos(90^(@)-theta))=sec theta*cosec theta

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

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

(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?