(1)/((1)^(2)(-6sec theta-cot theta)^(2))=(1-cos theta)/(1+cos theta)

Prove (cos ec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove that (tan theta+ sin theta)/(tan theta-sin theta)= (sec theta+1)/(sec theta-1) OR Prove that (cosec theta- cot theta)^(2)=(1-cos theta)/(1+cos theta)

(tan^(2)theta)/((sec theta-1)^(2))=(1+cos theta)/(1-cos theta)

Prove the following identities: (cos ec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

(cot theta sec theta)^2-(cos theta. cosec theta)^2=1

To prove (cot theta+cos ec theta)^(2)=(1+cos theta)/(1-cos theta)

(sin theta+sec theta)^(2)+(cos theta+cos ec theta)^(2)=(1+sec theta cos ec theta)^(2)

Prove that ("tan"^(2)theta)/(("sec"theta-1)^(2))=(1+"cos"theta)/(1-"cos"theta) .

(1)/(1-cos theta)-(1)/(1+cos theta)=(2cos theta)/(sin^(2)theta)=2cot theta xx csc