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[[" (1) "csc theta(1+cos theta)(csc theta-cot theta)=1],[" ( i "1+(.cot^(2)theta))/((1+csc theta))=csc theta]],[" (ii) "1+(cot^(2)theta)/((1+csc theta))=csc theta],[" (ii) "1+(tan^(2)theta)/((1+sec theta))=sec theta],[" (ii) "sec theta(1-sin theta)(sec theta+tan theta)=1],[" (ii) "sin theta(1+tan theta)+cos theta(1+cot theta)=(sec theta+csc theta)],[" 7."(sin theta)/((1+cos theta))+((1+cos theta))/(sin theta)=2csc theta],[" 8."(tan theta)/(theta)+(cot theta)/(cot theta)]

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csc theta(1+cos theta)(csc theta-cot theta)=1

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

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

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