Prove that `(cos(90^0+theta)sec(-theta)"tan"(180^0-theta))/(sec(360^0-theta)sin(180^0+theta)cot(90^0-theta))=-1`

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

Prove that cot^2(90^@-theta)/(tan^2theta-1)+Cosec^2theta/(sec^2theta-cosec^2theta)=1/(sin^2theta-cos^2theta) .

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

Evaluate: sin theta sec (90^(@)-theta) .

Prove that (1+cot theta - cosec theta)(1+tan theta + sec theta) =2 .

Prove that (cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) OR If sin theta+cos theta = sqrt(2) sin (90-theta) determine cot theta

Prove that (tan theta + sin theta)/(tan theta - sin theta) =(sec theta +1)/(sec theta-1)

Prove that: (sin theta - cos theta +1)/(sin theta + cos theta -1) = (1)/(sec theta - tan theta)