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Prove that : (tantheta)/(1-cottheta)+...

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

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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

(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta

1+cottheta="cosec"theta

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

(1+cottheta-cosectheta)(1+tantheta+sectheta)=?

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

(sin^(2)theta)/(1-cottheta)+(cos^(2)theta)/(1-tantheta)=1+u,"then" : u

((1-tantheta)/(1-cottheta))^(2)+1=

Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta