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

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

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

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

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 .

(tan theta)/(sec theta+1)+(cot theta)/(csc theta+1)=csc theta+sec theta-csc theta sec theta