1+(cot^(2)0)/(1+cosec theta)=cosec theta

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

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

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

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

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

The inverse of [(-cot theta, cosec theta),(cosec theta,-cot theta)] is

(1)/(cosec theta+cot theta)=cosec theta-cot theta

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

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