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

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

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

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

Prove that: (tan(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)csc(90^(@)-theta))=1

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

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1 .

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