" (5) "(1+sec^(2))/(sec theta)=(sin^(2)theta)/(1-cos theta)

Prove: (1+sec theta)/(sec theta)=(sin^(2)theta)/(1-cos theta)

Prove that (1 + sec theta) / sec theta = sin^2 theta /(1 - cos theta)

Prove each of the following identities : (i) (sec theta -1)/(sec theta +1) =(sin^(2) theta)/((1+ cos theta)^(2) ) (ii) (sec theta - tan theta)/(sec theta + tan theta) = (cos^(2) theta)/((1+ sintheta)^(2))

Prove that: (sec theta-1)/(sec theta+1)=((sin theta)/(1+cos theta))^(2)

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

1- (sin ^ (2) theta) / (1 + cos theta) + (1 + cos theta) / (sin theta) - (sin theta) / (1-cos theta) - (1) / (sec theta)

(sec^2 theta-1)/(sec^2 theta)- sin^2 theta=

Prove that (cos theta)/(1+sin theta)=(1-sin theta)/(cos theta)=sec theta-tan theta

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