prove that `(cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2`

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

Prove that cot 2 theta + tan theta = cosec 2 theta

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

prove that 1/(cosec theta-cot theta) - 1/(sin theta) = 1/sin theta - (1)/(cosec theta + cot theta)

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

If 5 cos theta = 3 , evaluate : ("cosec" theta-cottheta)/("cosec" theta + cottheta)

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 cos^2 theta cosec theta+sin theta=cosec theta

Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 theta -cosec^3 theta) = sin^2 theta cos^2 theta.