" (16) "1+(cat^(2)theta)/(1+cosec theta)=cosec theta

1+(cot^(2)theta)/(1+csc theta)=csc theta

show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

Prove each of the following identities : (i) 1+ (cot^(2) theta)/((1+ "cosec"theta))= "cosec" theta (ii) 1+ (tan^(2) theta)/((1+ sec theta))= sec theta

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

(sqrt((cosec^(2)theta-1)))/(cosec theta)=cos theta

( 1 + cos theta) ( 1 - cos theta ) cosec^2 theta =

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

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

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

Prove that identify: (cosec^(2)theta)/(cosectheta-1)-(cosec^(2)theta)/(cosectheta+1)=2sec^(2)theta