[(iii),sin theta(1+tan theta)+cos theta(1+cot theta)],[,=sec theta+cosec theta]

Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove each of the following identities : (i) sec theta(1- sin theta)(sec theta + tan theta)=1 (ii) sin theta (1+ tan theta) + cos theta( 1+ cot theta)=( sec theta + "cosec" theta)

Prove the following identity : sin theta (1+tan theta)+ cos theta(1+cot theta)= sec theta+ cosec theta .

Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cos ec theta

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

(tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta cosec theta

Prove the following identity : (sin theta)/(1+cos theta)+ (tan theta)/(1+cos theta)= sec theta cosec theta- cot theta .