Evaluate `tantheta/(1-cottheta)`

What is the value of (sintheta)/(1-cottheta)-(cos theta)/(1-tantheta) ?

Prove that : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta" cosec "theta

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

If cottheta=(4)/(3) and theta is acute, then find the value of (tantheta+cottheta)/(sectheta+cosectheta) .

What is (costheta)/(1-tantheta)+(sin theta)/(1-cottheta) equal to ?

i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Prove that: (costheta)/(1-tantheta)+(sintheta)/(1-cottheta)=sintheta+costheta

If sintheta=(3)/(5) , then the value of (tantheta+costheta)/(cottheta+cosectheta) is equal to

If sectheta -cosectheta =0 , then the value of tantheta + cottheta is (A) 0 (B) 1 (C ) -1 (D) 2

If sectheta+tantheta=5 , then the value of (tantheta+1)/(tantheta-1) is