" (vi) "1+(tan^(2)theta)/(1+sec theta)=sec 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 : (tan theta)/(sec theta -1) + (tan theta)/(sec theta + 1) = 2 cosec theta

Prove that (tan theta)/(sec theta -1)+ (tan theta)/(sec theta +1) = 2 cosec\ theta

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

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

Prove that (tan 8 theta)/(tan theta)=(1+ sec 2 theta)(1+ sec 4 theta)(1+ sec 8 theta)

Find the value of tan theta(1+sec2 theta)(1+sec4 theta)(1+sec8 theta) when theta=(pi)/(32)

For a positive integer n f_(n)(theta)=((tan theta)/(2))(1+sec theta)(1+sec2 theta)(1+sec4 theta)...(1+sec2^(n)theta) ,then

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

Prove that (tan8 theta)/(tan theta)=(1+sec2 theta)(1+sec4 theta)(1+sec8 theta)