" 19.If "a=(cos theta+r sin theta)*" prove that "(1+a)/(1-a)=(cot(theta)/(2))

if a=cos theta+i sin theta, prove that (1+a)/(1-a)=cot((theta)/(2))i

Prove that (1+cos theta)/(sin theta)=cot[(theta)/(2)]

Prove that sin(2theta)/(1-cos2theta)=cot theta

Prove that: (sin2 theta)/(1-cos2 theta)=cot theta

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

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

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

Show that ((1 + cos theta - sin ^(2) theta)/( sin theta (1 + cos theta ))) = cot theta

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

show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = cot theta