`cos theta/(1-sin theta) + cos theta/(1+sin theta) = 4`

prove that (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=(2)/(cos theta)

(1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)

((sin theta+cos theta-1)/(sin theta-cos theta+1))(1+sin theta) =

If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta) , then

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

(sin theta)/(1-cos theta)=(1+cos theta)/(sin theta)

cos theta/(1+sin theta)=(1-sin theta)/cos theta

Prove (cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

(cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)