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

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

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

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

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

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

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

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

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